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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 2^{2 x - 1}

Replace

x

with

y

x = 2^{2 y - 1}

Solve for

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

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

Popular Examples

inverse of f(x)=-2+ln(x)inverse

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

inverse of f(x)=x^2+8x-7 inverse

f (x) = x^{2} + 8 x - 7

inverse of f(x)=(x-9)/7 inverse

f (x) = \frac{x - 9}{7}

inverse of f(x)=x^2-6x+5,[3,+infinity ]inverse

f (x) = x^{2} - 6 x + 5, [3, + \infty]

inverse of f(x)=(x^3+3)/2 inverse

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

Frequently Asked Questions (FAQ)

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