What is the inverse of f(x)=2021^{9x-21} ?

The inverse of f(x)=2021^{9x-21} is (ln(2021^{21}x))/(9ln(2021))

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inverse of f(x)=2021^{9x-21}

inverse

f (x) = 202 1^{9 x - 21}

\frac{ln ( 202 1 ^{21} x )}{9 ln ( 2021 )}

Solution steps

y = 202 1^{9 x - 21}

Replace

x

with

y

x = 202 1^{9 y - 21}

Solve for

y, x = 202 1^{9 y - 21}

\frac{ln ( 202 1 ^{21} x )}{9 ln ( 2021 )}

f (x) = e^{7 x}

y = - 3 x - 2

y = - 3 x - 1

\frac{6 x + 7}{x + 6}

f (x) = \frac{3}{2} x - 7

What is the inverse of f(x)=2021^{9x-21} ?
The inverse of f(x)=2021^{9x-21} is (ln(2021^{21}x))/(9ln(2021))