What is the inverse of f(x)=3^{x-2}-9 ?

The inverse of f(x)=3^{x-2}-9 is (ln(x+9))/(ln(3))+2

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inverse of f(x)=3^{x-2}-9

inverse

f (x) = 3^{x - 2} - 9

\frac{ln ( x + 9 )}{ln ( 3 )} + 2

Solution steps

y = 3^{x - 2} - 9

Replace

x

with

y

x = 3^{y - 2} - 9

Solve for

y, x = 3^{y - 2} - 9

\frac{ln ( x + 9 )}{ln ( 3 )} + 2

f (x) = 51206

f (x) = \frac{( 7 x + 8 )}{4 x - 7}

f (x) = ln (9 x + e)

P (x) = - 15 x^{2} + 350 x - 2000

What is the inverse of f(x)=3^{x-2}-9 ?
The inverse of f(x)=3^{x-2}-9 is (ln(x+9))/(ln(3))+2