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Popular Functions >

inverse of f(x)=log_{2}(3x-4)

Solution

inverse

f (x) = lo g_{2} (3 x - 4)

Solution

\frac{2 ^{x} + 4}{3}

Solution steps

y = lo g_{2} (3 x - 4)

Replace

x

with

y

x = lo g_{2} (3 y - 4)

Solve for

y, x = lo g_{2} (3 y - 4)

\frac{2 ^{x} + 4}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{2}(3x-4) ?
The inverse of f(x)=log_{2}(3x-4) is (2^x+4)/3