What is the inverse of f(x)=6^{3+2x} ?

The inverse of f(x)=6^{3+2x} is (ln(x)-3ln(6))/(2ln(6))

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inverse of f(x)=6^{3+2x}

inverse

f (x) = 6^{3 + 2 x}

\frac{ln ( x ) - 3 ln ( 6 )}{2 ln ( 6 )}

Solution steps

y = 6^{3 + 2 x}

Replace

x

with

y

x = 6^{3 + 2 y}

Solve for

y, x = 6^{3 + 2 y}

\frac{ln ( x ) - 3 ln ( 6 )}{2 ln ( 6 )}

y = - 0.1 x + 14

1 + ln (x)

f (x) = \frac{6 x - 6}{5 x + 1}

f (x) = \frac{75 ( x )}{85 - x}

f (x) = λ (ln (x))

What is the inverse of f(x)=6^{3+2x} ?
The inverse of f(x)=6^{3+2x} is (ln(x)-3ln(6))/(2ln(6))