psteelerz psteelerz
  • 26-02-2021
  • Mathematics
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What function is the inverse of the exponential function y = 4^x?

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abidemiokin
abidemiokin abidemiokin
  • 13-05-2022

The function that is the inverse of the exponential function y = 4^x is lnx/ln4

Exponential functions

The standard exponential function is given as y = ab^x

Given the function

y = 4^x

Replace y with x

x = 4^y

Make y the subject of the formula

lnx = ln4^y
lnx = yln4

Divide both sides by ln4

lnx/ln4 = y

Hence the function that is the inverse of the exponential function y = 4^x is lnx/ln4

Learn more on inverse function here: https://brainly.com/question/2873333

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