What is the inverse of f(x)=3+3(4)^x ?

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

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inverse of f(x)=3+3(4)^x

inverse

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

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

Solution steps

y = 3 + 3 \cdot 4^{x}

Replace

x

with

y

x = 3 + 3 \cdot 4^{y}

Solve for

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

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

2 x - 4

2 x - 9

f (x) = \frac{7 x}{3 x - 5}

f (x) = \frac{3 x}{2 x - 9}

f (x) = 34 + (x - 7) 2.89

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