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

f (x) = \frac{1}{x ^{4}}

f (x) = - 3 x - 7

\frac{2 x + 3}{4 x + 5}

f (x) = \frac{4}{3} x^{2} - 4

f (x) = x^{2} - 4 x - 21

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