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

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

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

inverse

f (x) = 3^{2 x} - π

\frac{ln ( x + π )}{2 ln ( 3 )}

Solution steps

y = 3^{2 x} - π

Replace

x

with

y

x = 3^{2 y} - π

Solve for

y, x = 3^{2 y} - π

\frac{ln ( x + π )}{2 ln ( 3 )}

f (x) = 3 - 4 x - 10

f (x) = arccos (\frac{1}{2})

f (x) = 3 ln (2 x - x^{2})

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

x + 13

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