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

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

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inverse of f(x)=3^{x-2}+5

inverse

f (x) = 3^{x - 2} + 5

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

Solution steps

y = 3^{x - 2} + 5

Replace

x

with

y

x = 3^{y - 2} + 5

Solve for

y, x = 3^{y - 2} + 5

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

- 3 cos (4 x)

y = \frac{7 - 3 x}{2 x - 3}

y = x^{2} - 1, x \geq 0

f (x) = - \frac{1}{6 x}

f (x) = 2^{x - 1} - 1

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