What is the inverse of f(x)=2^{2x-1}+20 ?

The inverse of f(x)=2^{2x-1}+20 is (ln(2(x-20)))/(2ln(2))

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inverse of f(x)=2^{2x-1}+20

inverse

f (x) = 2^{2 x - 1} + 20

\frac{ln ( 2 ( x - 20 ) )}{2 ln ( 2 )}

Solution steps

y = 2^{2 x - 1} + 20

Replace

x

with

y

x = 2^{2 y - 1} + 20

Solve for

y, x = 2^{2 y - 1} + 20

\frac{ln ( 2 ( x - 20 ) )}{2 ln ( 2 )}

f (x) = \frac{( 6 - 3 x )}{5 x + 7}

f (x) = 30 x - 5 x^{2}

\frac{200}{S}

f (x) = ln (4 x - 1) + 2

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

What is the inverse of f(x)=2^{2x-1}+20 ?
The inverse of f(x)=2^{2x-1}+20 is (ln(2(x-20)))/(2ln(2))