What is the inverse of f(x)=2^{x+4}-5 ?

The inverse of f(x)=2^{x+4}-5 is (ln(x+5))/(ln(2))-4

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inverse of f(x)=2^{x+4}-5

inverse

f (x) = 2^{x + 4} - 5

\frac{ln ( x + 5 )}{ln ( 2 )} - 4

Solution steps

y = 2^{x + 4} - 5

Replace

x

with

y

x = 2^{y + 4} - 5

Solve for

y, x = 2^{y + 4} - 5

\frac{ln ( x + 5 )}{ln ( 2 )} - 4

2 x

2 x^{3} - 6 x

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

x - \frac{5}{3}

What is the inverse of f(x)=2^{x+4}-5 ?
The inverse of f(x)=2^{x+4}-5 is (ln(x+5))/(ln(2))-4