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Popular Functions >

inverse of f(x)=log_{5}(2x-1)

Solution

inverse

f (x) = lo g_{5} (2 x - 1)

Solution

\frac{5 ^{x} + 1}{2}

Solution steps

y = lo g_{5} (2 x - 1)

Replace

x

with

y

x = lo g_{5} (2 y - 1)

Solve for

y, x = lo g_{5} (2 y - 1)

\frac{5 ^{x} + 1}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{5}(2x-1) ?
The inverse of f(x)=log_{5}(2x-1) is (5^x+1)/2