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Popular Functions >

inverse of f(x)=3log_{2}(x-1)+2

Solution

inverse

f (x) = 3 lo g_{2} (x - 1) + 2

Solution

2^{\frac{x - 2}{3}} + 1

Solution steps

y = 3 lo g_{2} (x - 1) + 2

Replace

x

with

y

x = 3 lo g_{2} (y - 1) + 2

Solve for

y, x = 3 lo g_{2} (y - 1) + 2

2^{\frac{x - 2}{3}} + 1

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3log_{2}(x-1)+2 ?
The inverse of f(x)=3log_{2}(x-1)+2 is 2^{(x-2)/3}+1