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

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

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inverse of f(x)=2^{x+3}-4

inverse

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

\frac{ln ( x + 4 )}{ln ( 2 )} - 3

Solution steps

y = 2^{x + 3} - 4

Replace

x

with

y

x = 2^{y + 3} - 4

Solve for

y, x = 2^{y + 3} - 4

\frac{ln ( x + 4 )}{ln ( 2 )} - 3

f (x) = \frac{2 x}{9 x - 1}

5 x^{3} - 2

4 x - 5

f (x) = x^{2} + 16 x + 64

3 x + 4 - 5

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