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Popular Functions >

inverse of f(x)=log_{2}(ax-8)

Solution

inverse

f (x) = lo g_{2} (a x - 8)

Solution

\frac{2 ^{x} + 8}{a}

Solution steps

y = lo g_{2} (a x - 8)

Replace

x

with

y

x = lo g_{2} (a y - 8)

Solve for

y, x = lo g_{2} (a y - 8)

\frac{2 ^{x} + 8}{a}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=log_{2}(ax-8) ?
The inverse of f(x)=log_{2}(ax-8) is (2^x+8)/a