What is the inverse of f(x)=3^{x+5}-1 ?

The inverse of f(x)=3^{x+5}-1 is (ln(x+1))/(ln(3))-5

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inverse of f(x)=3^{x+5}-1

inverse

f (x) = 3^{x + 5} - 1

\frac{ln ( x + 1 )}{ln ( 3 )} - 5

Solution steps

y = 3^{x + 5} - 1

Replace

x

with

y

x = 3^{y + 5} - 1

Solve for

y, x = 3^{y + 5} - 1

\frac{ln ( x + 1 )}{ln ( 3 )} - 5

f (x) = \frac{2 x}{x ^{2} - 9}

f (x) = (x + 4)^{2} + 1

f (8) = 1 f (10) = - 2

(8, 7), (10, 16)

f (x) = 6 x^{2} + 2

What is the inverse of f(x)=3^{x+5}-1 ?
The inverse of f(x)=3^{x+5}-1 is (ln(x+1))/(ln(3))-5