Popcorn Discussions Week Ending 3/11/22 by Felix Mariano https://padlet.com/felixmariano2/vw8las3vx8u2ikfd Write your response to the topic on every column as well as your reactions to other classmate comments en-us 2022-03-06 21:02:59 UTC 2022-03-14 19:01:47 UTC hello@padlet.com https://padlet.net/icons/png/1f9d4.png ttellis1 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081666782 Logarithmic functions are the inverse of exponential functions.]]> 2022-03-07 13:48:12 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081666782 Logarithmic function are the inverse of exponential function. The inverse of the exponential function is y=ax is x=ay. https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081673203 Mahmoud.]]> 2022-03-07 13:50:49 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081673203 hrodriguez80 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081676074 Logarithmic functions are the inverses of exponential functions, and any exponential function can be expressed in logarithmic form.]]> 2022-03-07 13:52:01 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081676074 omaldonado8 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081676328 The relationship between exponential and logarithmic functions is that Logarithmic and Exponential are inverse function to each other.]]> 2022-03-07 13:52:08 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081676328 amaldonado202 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081679808 The relationship between exponential and logarithmic functions is that a logarithmic function is the exact opposite of an exponential function]]> 2022-03-07 13:53:37 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081679808 Aneisa.H https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081687491 A Logarithmic function is the inverse of exponential functions. ]]> 2022-03-07 13:57:07 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081687491 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. -Alana https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081692958 2022-03-07 13:59:27 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2081692958 ttellis1 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084007105 There would be no real number that we could call the logarithm.]]> 2022-03-08 13:47:31 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084007105 Mahmoud https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084016929 The is no real number we could call the logarithm of and have it satisfy the defining equation that work for positive reals.]]> 2022-03-08 13:52:00 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084016929 amaldonado202 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084017588 The logarithm of a negative number cannot be found because there would be no real number to work with.]]> 2022-03-08 13:52:19 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084017588 Aneisa.H https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084019442 If is negative there is no real number that we could call the logarithm of. And it wont satisfy the defining equation for positive reals.]]> 2022-03-08 13:53:14 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084019442 hrodriguez80 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084023924 the only numbers you can plug into a log function are positive numbers. If you plug in a negative it will be undefined]]> 2022-03-08 13:55:20 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084023924 omaldonado8 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084036191 We cannot find the logarithm of negative number because 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 14:01:06 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084036191 Baronique R. https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084569039 The relationship between exponential and logarithmic functions is that logarithmic functions is the inverse of exponential functions]]> 2022-03-08 18:11:28 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084569039 Baronique R. https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084574379 We cannot find the logarithm of a negative number because there is no real number we could call the logarithm of and have it satisfy the defining equation that work for positive reals.]]> 2022-03-08 18:14:17 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2084574379 We cannot find the logarithm of a negative number because there is no real number we could call the logarithm of and have it satisfy the defining equation that work for positive reals. -Alana https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086087926 2022-03-09 13:46:22 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086087926 logb(xy) = logbx + logby. -Alana https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086089765 2022-03-09 13:47:16 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086089765 Mahmoud https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086090688  BASIC property of logarithms.  

Logb(xy). = logbx + logby.    
Logb(x/y) = logbx - logby 


]]> 2022-03-09 13:47:44 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086090688 omaldonado8 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086095505  Properties of logarithms is when you expand a single logarithm into multiple logarithms. For example logb(xy) = logbx + logby.

]]> 2022-03-09 13:49:54 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086095505 amaldonado202 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086099644 An example of a property of logarithms is logb(xy) = logbx + logby.

]]> 2022-03-09 13:51:56 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2086099644 Baronique R. https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2087240380  Properties of logarithms is when you expand a single logarithm into multiple logarithms.]]> 2022-03-10 01:23:39 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2087240380 Baronique R. https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2087246119 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 01:26:17 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2087246119 ttellis1 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088356053 Natural logarithms are different than common logarithms. The base of a common logarithm could be a number and the base of a natural logarithm is special number e.]]> 2022-03-10 13:49:34 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088356053 Sueliah https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088357598 Natural and Common Logarithms are different. Because, while the base of a common logarithm is 10, the base of a natural logarithm is the special number e. ]]> 2022-03-10 13:50:16 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088357598 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. -Alana Fedrick https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088359080 2022-03-10 13:51:02 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088359080 hrodriguez80 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088360171 While the base of a common logarithm is 10, the base of a natural logarithm is a fixed irrational number approximately equal to 2.718281828459]]> 2022-03-10 13:51:30 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088360171 Mahmoud https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088362155 Natural logarithms are different than common logarithms. While the base of a common logarithms is 10 the base of natural logarithms is the number e.]]> 2022-03-10 13:52:27 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088362155 lsheikh5 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088364813 Natural logarithms are different than common logarithms. The base for natural logarithms is the special number e, while the the base of common logarithms is 10.]]> 2022-03-10 13:53:46 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088364813 ttellis1 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088364940 One example of a property of logarithms is,
  • logb(xy) = logbx + logby.
 
]]> 2022-03-10 13:53:50 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088364940 amaldonado202 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088366460 Natural logarithms are different than common logarithms. While the base of a common logarithms is 10 the base of natural logarithms is the number e.


]]> 2022-03-10 13:54:32 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088366460 omaldonado8 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088368156 The common logarithm has base 10, and is represented on the calculator as log(x). And for natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln(x). ]]> 2022-03-10 13:55:17 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088368156 hrodriguez80 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088373709 logarithmic and exponential functions undo each other.]]> 2022-03-10 13:58:06 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088373709 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088406165 The relationship between exponential and logarithms is that they undo each other. -Nicole ]]> 2022-03-10 14:12:57 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088406165 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088410954 We aren’t able to find the logarithm of a negative number because it is not a real number and a logarithm is the inverse function of an exponential function and a exponential tends to have a positive real number. -Nicole]]> 2022-03-10 14:15:03 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088410954 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088418681 Example of logarithm property is the power property which is logb (M)^x = x logb M . -Nicole ]]> 2022-03-10 14:18:19 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088418681 https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088426183 A natural logarithm has a base of e and is an irrational number and is represented on a calculator by In(x). A common logarithm has a base of 10 and is represented on a calculator by log(x). -Nicole]]> 2022-03-10 14:21:24 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088426183 Sueliah https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088434804 Logarithmic functions are the inverses of exponential functions.]]> 2022-03-10 14:25:08 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088434804 Sueliah https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088438859 Since those numbers can't reliably be the base of a power function, then they also can't reliably be the base of a logarithm.]]> 2022-03-10 14:26:49 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088438859 Sueliah https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088445923 Four Basic Properties of Logarithms are :

Logb(xy) = logbx + logby, Logb(x/y) = logbx - logby, Logb(xn) = n logbx, and Logbx = logax / logab.]]> 2022-03-10 14:29:49 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2088445923 Anthony McRae https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094503753 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. Although this looks like a variable, it represents a fixed irrational number approximately equal to 2.718281828459.]]> 2022-03-14 18:56:41 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094503753 Anthony McRae https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094506086 The Four Basic Properties of Logs
  • logb(xy) = logbx + logby.
  • logb(x/y) = logbx - logby.
  • logb(xn) = n logbx.
  • logbx = logax / logab.

]]> 2022-03-14 18:58:15 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094506086 Anthony McRae https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094509961 So 0, 1, and 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.]]> 2022-03-14 19:00:59 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094509961 Anthony McRae https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094511151 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.]]> 2022-03-14 19:01:47 UTC https://padlet.com/felixmariano2/vw8las3vx8u2ikfd/wish/2094511151