Whats the inverse of f(x) = 4^x+2x

asked Jan 5, 2023 90.4k views

12 votes

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8 votes

Interchange x and y

$\\ \rm\Rrightarrow x=4^y+2y$

Find y

$\\ \rm\Rrightarrow 4^y=(x)/(2y)$

take log on both

$\\ \rm\Rrightarrow ln4^y=ln(x)/(2y)$

$\\ \rm\Rrightarrow yln4=lnx-ln2y$

$\\ \rm\Rrightarrow yln4-ln2y=lnx$

$\\ \rm\Rrightarrow yln4-ln2-lny=lnx$

$\\ \rm\Rrightarrow yln4-lny=lnx+ln2$

Inverse not possible to find

Sgnl answered Jan 12, 2023

by Sgnl

6.0k points

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