What is the inverse of f(x)=(ln(2x))/(2ln(2)) ?

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

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inverse of f(x)=(ln(2x))/(2ln(2))

inverse

f (x) = \frac{ln ( 2 x )}{2 ln ( 2 )}

2^{2 x - 1}

Solution steps

y = \frac{ln ( 2 x )}{2 ln ( 2 )}

Replace

x

with

y

x = \frac{ln ( 2 y )}{2 ln ( 2 )}

Solve for

y, x = \frac{ln ( 2 y )}{2 ln ( 2 )}

2^{2 x - 1}

f (x) = \frac{5 - 8 x}{7 x}

\frac{3}{9 - x ^{2}}

f (x) = 20 x + 5

f (x) = 6 x - 52

f (x) = 2 x + 0

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