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

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

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

inverse

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

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

Solution steps

y = 4^{x + 3} - 2

Replace

x

with

y

x = 4^{y + 3} - 2

Solve for

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

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

f (x) = \frac{x}{25}

f (x) = \frac{4 x + 3}{7}

y = 4 x - 2

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

f (x) = 3 x - 1

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