Popcorn Discussions Week Ending 3/11/22 by Felix Mariano https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v Write your response to the topic on every column as well as your reactions to other classmate comments en-us 2022-03-06 21:05:44 UTC 2022-03-16 01:13:27 UTC hello@padlet.com https://padlet.net/icons/png/1f9d4.png Alberto pmnfrrcjm6 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081578384 Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ]]> 2022-03-07 13:04:07 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081578384 Mamadou Bah https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081586960 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 13:09:20 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081586960 Malachi https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081594510 the logarithmic function is a reflection of the exponential function or the inverse.]]> 2022-03-07 13:13:44 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081594510 Chris R. crivera169 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081595706 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 13:14:25 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2081595706 Malachi https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083918926 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 12:59:32 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083918926 Alberto pmnfrrcjm6 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083927780

Because a logarithm is, by definition, the inverse of an exponential function. 



]]> 2022-03-08 13:05:04 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083927780 Chris R. crivera169 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083939950 You cannot find the logarithm of a negative number because a logarithm is the inverse of an exponential function.]]> 2022-03-08 13:12:26 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083939950 Mamadou Bah https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083972355 Because the logarithm is the "inverse function" of the exponential function.]]> 2022-03-08 13:29:39 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2083972355 Alberto pmnfrrcjm6 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086015913 Logarithms, like exponents, have many helpful properties that can be used to simplify logarithmic expressions and solve logarithmic equations.]]> 2022-03-09 13:09:09 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086015913 Chris R. crivera169 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086016248 The three main properties of logarithms are the product property, the quotient property, and the power property.]]> 2022-03-09 13:09:24 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086016248 Malachi https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086023585 change of base rule, equality rule, and number raised to log.]]> 2022-03-09 13:13:38 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086023585 Mamadou bah https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086376838 logarithms, like exponents, have many helpful properties that can be used to simplify logarithmic expressions and solve logarithmic equations.1. loga (uv) = loga u + loga v]]> 2022-03-09 15:57:00 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2086376838 Malachi https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2088271153 Natural logarithms are different than common logarithms. While the base of a common logarithm is 10, the base of a natural logarithm is e.]]> 2022-03-10 13:04:34 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2088271153 Alberto pmnfrrcjm6 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2088275572 The common logarithm is useful for base 
10
 calculations, especially in conjunction with scientific notation.
]]> 2022-03-10 13:07:22 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2088275572 Mamadou Bah https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2088303199 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 13:22:38 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2088303199 ehoward55 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097021824 Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ]]> 2022-03-16 01:11:15 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097021824 ehoward55 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097022781
Because the logarithm is the "inverse function" of the exponential function.


]]> 2022-03-16 01:11:49 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097022781 ehoward55 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097025019 change of base rule, equality rule, and number raised to log.]]> 2022-03-16 01:13:07 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097025019 ehoward55 https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097025528 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.]]> 2022-03-16 01:13:27 UTC https://padlet.com/felixmariano2/6qnj1mfv2gaoei4v/wish/2097025528