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

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

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

inverse

f (x) = (\frac{3}{4})^{2 x}

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

Solution steps

y = (\frac{3}{4})^{2 x}

Replace

x

with

y

x = (\frac{3}{4})^{2 y}

Solve for

y, x = (\frac{3}{4})^{2 y}

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

f (x) = \frac{x ^{5}}{32}

y = \frac{1}{2} x + 7

x^{\frac{3}{2}}

f (x) = 3 x^{2} + 4, x \geq 0

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

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