Popcorn Discussions Week Ending 3/11/22 by Felix Mariano https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j Write your response to the topic on every column as well as your reactions to other classmate comments en-us 2022-03-06 20:59:39 UTC 2026-01-08 04:18:59 UTC hello@padlet.com https://padlet.net/icons/png/1f9d4.png Jayden G https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082008457 Logarithmic and Exponential are inverse function to eachother.

Logarithmic function undo the thing done by exponential function.


]]> 2022-03-07 16:13:12 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082008457 Isaiah D https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082008504 Logarithmic functions are the inverses of exponential functions. ]]> 2022-03-07 16:13:14 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082008504 Mahogany https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082010116 Logarithmic functions are the inverses of exponential functions.]]> 2022-03-07 16:13:57 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082010116 merbelin https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082011480 Logarithmic Functions. Logarithmic functions are the inverses of exponential functions. ]]> 2022-03-07 16:14:29 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082011480 Brittany M https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082012655 Exponential and Logarithmic are inverse of each other.]]> 2022-03-07 16:15:03 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082012655 Edwalys https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082023352 Logarithmic functions are the inverse of exponential functions. ]]> 2022-03-07 16:18:51 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082023352 dorriana https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082033952 Logarithmic and exponential are inverse of each other.]]> 2022-03-07 16:23:23 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082033952 Sarah https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082038307 Logarithmic functions are the inverses of exponential functions.]]> 2022-03-07 16:25:25 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082038307 Jessemay Colon https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082040121 Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay.

]]> 2022-03-07 16:26:14 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082040121 janayaaa https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082159194 Logarithmic and exponential functions are inverse to eachother and logarithmic functions undo the thing done by exponential functions. ]]> 2022-03-07 17:24:05 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2082159194 Kacey https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084325087 We cannot find the logarithm of a negative number because there is no real number ]]> 2022-03-08 16:12:41 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084325087 merbelin https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084325701 if is negative, there is no real number that we could call the logarithm of and have it satisfy the defining equation that works for positive reals.]]> 2022-03-08 16:12:59 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084325701 Mahogany https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084326469 If is negative, there is no real number that we could call the logarithm of and have it satisfy the defining equation that works for positive reals.]]> 2022-03-08 16:13:23 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084326469 Isaiah D https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084326674  there is no real number that we could call the logarithm of and have it satisfy the defining equation that works for positive reals.]]> 2022-03-08 16:13:29 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084326674 Jessemay Colon https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084327160 The logarithm is the "inverse function" of the exponential function. For any real number , the exponential is always a positive real number. So, if is negative, there is no real number that we could call the logarithm of and have it satisfy the defining equation that works for positive reals.

]]> 2022-03-08 16:13:44 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084327160 Logs and exponents of the same base are inverse functions of one another. Imagine an exponent machine that takes x as an input as produces ax as an output. A Log machine would take that ax as an input and produce the original x back as the output. So the log "undoes" what the exponent does. lsoto60 https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084328524 2022-03-08 16:14:25 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084328524 Sarah https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084329709  there is no real number that we could call the logarithm of and have it satisfy the defining equation that works for positive reals.]]> 2022-03-08 16:15:02 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084329709 Brittany M https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084332880 There is no real number that we can call the logarithm of satisfy the defining equation that works for positive reals.]]> 2022-03-08 16:16:22 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084332880 Edwalys https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084334042 We can't find the logarithm of a negative number because there is no number that can be called logarithm. It doesn't exist.]]> 2022-03-08 16:16:54 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084334042 https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084334631 we cannot find the logarithm of a negative number because there is no real numbers so it can not be called logarithm. Hector B]]> 2022-03-08 16:17:11 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084334631 lsoto60 https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084337516 every negative number presents a potential problem as the base of a power function.If those numbers cant reliably be the base of a power function, then they also can't reliably be the base of a logarithm.For that reason we only allow positive numbers other than 1 as the base of the logarithm.]]> 2022-03-08 16:18:32 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084337516 https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084339951 How I would describe the relationship between exponential and logarithmic functions is that the Logarithmic function and Exponential function are inverse functions to each other. Hector B]]> 2022-03-08 16:19:27 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084339951 Jet https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084342495 Logarithmic and exponential are inverse by eachother.]]> 2022-03-08 16:20:37 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084342495 Janaya https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084359888 you cannot find the logarithm of a negative number because having a logarithm of a negative number is equivalent to have a negative x but having a negative x using the inverse function of the exponential with the same base is impossible. ]]> 2022-03-08 16:28:47 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084359888 Nichelle Alicea https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084369636 Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. ]]> 2022-03-08 16:33:32 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084369636 Nichelle Alicea https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084376830 For any real number , the exponential is always a positive real number. So, if is negative, there is no real number that we could call the logarithm of and have it satisfy the defining equation that works for positive reals.]]> 2022-03-08 16:37:07 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2084376830 Jayden G https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086449377
  • logb(xy) = logbx + logby.
  • logb(x/y) = logbx - logby.
  • logb(xn) = n logbx.
  • logbx = logax / logab.


    • ]]>     2022-03-09 16:31:09 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086449377     merbelin https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086449874  logb(xy) = logbx + logby.
    • logb(x/y) = logbx - logby.
    • logb(xn) = n logbx.


    ]]>     2022-03-09 16:31:24 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086449874     madeliene https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086450695
  • logb(xn) = n logbx.
  • logbx = logax / logab.



    • ]]>     2022-03-09 16:31:49 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086450695     Sarah https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086451983  logb(xy) = logbx + logby.
    • logb(x/y) = logbx - logby.
    • logb(xn) = n logbx.
    ]]>     2022-03-09 16:32:26 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086451983     Isaiah D https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086453194 logb(xy) = logbx + logby.


    ]]>     2022-03-09 16:33:02 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086453194     janayaaa https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086454297  
    • logb(xy) = logbx + logby.
    • logb(x/y) = logbx - logby.
    • logb(xn) = n logbx.
    • logbx = logax / logab.


    ]]>     2022-03-09 16:33:34 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086454297     Mahogany https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086454432
  • logb(x/y) = logbx - logby.
  • logb(xn) = n logbx.

    • ]]>     2022-03-09 16:33:39 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086454432     Michael https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086455502
  • logb(xy) = logbx + logby.
  • logb(x/y) = logbx - logby.
  • logb(xn) = n logbx.
  • logbx = logax / logab.

    • ]]>     2022-03-09 16:34:10 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086455502     Edwalys https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086456907
    • logb(xy) = logbx + logby.
    • logb(x/y) = logbx - logby.
    • logb(xn) = n logbx.
    • logbx = logax / logab.


    ]]>     2022-03-09 16:34:53 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086456907     Brittany M https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086459450 logb(xy) = logbx + logby
     logbx = logax / logab.

    ]]>     2022-03-09 16:36:06 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086459450     Jessemay Colon https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086482453
  • logb(xy) = logbx + logby.
  • logb(x/y) = logbx - logby.
  • logb(xn) = n logbx.
  • logbx = logax / logab.


    • ]]>     2022-03-09 16:46:53 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086482453     Nichelle Alicea https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086616679
  • logb(xy) = logbx + logby.
  • logb(x/y) = logbx - logby.
  • logb(xn) = n logbx.

    • ]]>     2022-03-09 17:53:23 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2086616679     janayaaa https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088541653 The common logarithm has base 10, and is represented on the calculator as log(x). The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln(x). ]]> 2022-03-10 15:12:36 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088541653 Manny https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088603314
    Logs and exponents of the same base are inverse functions of one another. Imagine an exponent machine that takes x as an input as produces ax as an output

    ]]>     2022-03-10 15:40:37 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088603314     Manny https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088604719 every negative number presents a potential problem as the base of a power function.]]> 2022-03-10 15:41:20 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088604719 Manny https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088606351
  • logb(xy) = logbx + logby.
  • logb(x/y) = logbx - logby.
  • logb(xn) = n logbx.

    • ]]>     2022-03-10 15:42:04 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088606351     Manny https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088607229 The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln(x). ]]> 2022-03-10 15:42:29 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088607229 kacey https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088668154
    ogb(xy) = logbx + logby.
    logb(x/y) = logbx - logby.
    logb(xn) = n logbx.]]>     2022-03-10 16:11:52 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088668154     Jayden G https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088669192 While the base of a common logarithm is 10, the base of a natural logarithm is the special number e.]]> 2022-03-10 16:12:21 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088669192 Mahogany https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088670141 While the base of a common logarithm is 10, the base of a natural logarithm is the special number e.]]> 2022-03-10 16:12:50 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088670141 kacey https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088670327 common logarithm has base 10. and natural logarithm has base e]]> 2022-03-10 16:12:55 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088670327 Sarah https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088670736 The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln(x). ]]> 2022-03-10 16:13:09 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088670736 Merbelin https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088671333 Natural logarithms are different than common logarithms. While the base of a common logarithm is 10, the base of a natural logarithm is the special number e. ]]> 2022-03-10 16:13:27 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088671333 Jessemay Colon https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088673153 Natural logarithms are different than common logarithms. While the base of a common logarithm is 10, the base of a natural logarithm is the special number e.]]> 2022-03-10 16:14:18 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088673153 Isaiah D https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088674126 While the base of a common logarithm is 10, the base of a natural logarithm is the special number e.]]> 2022-03-10 16:14:48 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088674126 Brittany M https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088677617 While the base of a common logarithm is 10, the base of a natural logarithm is the special number e.]]> 2022-03-10 16:16:30 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088677617 madeliene https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088742928 While the base of a common logarithm is 10, the base of a natural logarithm is the special number.]]> 2022-03-10 16:48:41 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2088742928 Tyree https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2096054865 natural logarithims are different than common logarithims . while the base of a common logarithim is 10 , the base of a natural logarithim is the special number e]]> 2022-03-15 14:10:12 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2096054865 Tyree https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2096064277 every negative number presents a potential problem as the base of a power function .]]> 2022-03-15 14:14:17 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2096064277 Tyree https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2096065774 Logarithimic and exponential are inverse by eachother]]> 2022-03-15 14:14:57 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2096065774 Tobi https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2098989940 According to Google, The inverse of an exponential function is a logarithmic function. This means they are the opposite to each-other, like how division is the inverse of multiplication and subtraction is the inverse of addition. ]]> 2022-03-17 00:23:05 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2098989940 Tobi https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2098993874 According to Google, every negative number presents a potential problem as the base of a power function. And if those numbers can't reliably be the base of a power function, then they also can't reliably be the base of a logarithm. For that reason, we only allow positive numbers other than 1 as the base of the logarithm. So in simpler terms, it would come up as an error- a negative base does not exist.]]> 2022-03-17 00:25:54 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2098993874 Tobi https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2098996420 According to Google, The Four Basic Properties of Logs are:


    1. logb(xy) = logbx + logby.
    2. logb(x/y) = logbx - logby.
    3. logb(xn) = n logbx.          
    4. logbx = logax / logab.     
    ]]>     2022-03-17 00:27:35 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2098996420     Tobi https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2099003000 According to Google, Common logarithms have a base of 10 whereas ‘Natural’ Logarithms have a variable for a base, typically written as ‘e’. E is supposed to represent a ‘natural exponent’, meaning  ex is the unique function f that equals its own derivative and satisfies the equation f(0) = 1; hence one can also define e as f(1).]]> 2022-03-17 00:31:49 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2099003000 Amani https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2126247719 exponential and logarithmic are inverse of each other.]]> 2022-04-02 04:12:43 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2126247719 Amani https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2126248046 every negative number presents a potential problem as the base of power function.]]> 2022-04-02 04:13:48 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2126248046 Amani https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2126249134 while the base of a common logarithm is 10 the base of a natural logarithm is the special number.]]> 2022-04-02 04:17:08 UTC https://padlet.com/felixmariano2/u7tcwpe6cl5wd12j/wish/2126249134