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Popular >

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

Solution

inverse

f (x) = lo g_{2} (2 x - 1)

Solution

\frac{2 ^{x} + 1}{2}

Solution steps

y = lo g_{2} (2 x - 1)

Replace

x

with

y

x = lo g_{2} (2 y - 1)

Solve for

y, x = lo g_{2} (2 y - 1)

\frac{2 ^{x} + 1}{2}

Popular Examples

inverse of f(x)=(3x-5)/(4x+1)inverse

f (x) = \frac{3 x - 5}{4 x + 1}

inverse of f(x)=(2x)/(3x-8)inverse

f (x) = \frac{2 x}{3 x - 8}

inverse of 3x^3-7 inverse

3 x^{3} - 7

inverse of 3x^3+6 inverse

3 x^{3} + 6

inverse of 3x^3+5 inverse

3 x^{3} + 5

Frequently Asked Questions (FAQ)

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