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