What is the inverse of f(x)=4^{x-5}+3 ?

The inverse of f(x)=4^{x-5}+3 is (ln(x-3))/(2ln(2))+5

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inverse of f(x)=4^{x-5}+3

inverse

f (x) = 4^{x - 5} + 3

\frac{ln ( x - 3 )}{2 ln ( 2 )} + 5

Solution steps

y = 4^{x - 5} + 3

Replace

x

with

y

x = 4^{y - 5} + 3

Solve for

y, x = 4^{y - 5} + 3

\frac{ln ( x - 3 )}{2 ln ( 2 )} + 5

f (x) = \frac{5}{4 x + 3}

\frac{1}{2} x^{2}

\frac{5 x}{7 x - 1}

f (x) = - 2 ln (x)

What is the inverse of f(x)=4^{x-5}+3 ?
The inverse of f(x)=4^{x-5}+3 is (ln(x-3))/(2ln(2))+5