What is the inverse of f(x)=2log_{3}(1/4 x-5)+6 ?

The inverse of f(x)=2log_{3}(1/4 x-5)+6 is 4*3^{(x-6)/2}+20

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inverse of f(x)=2log_{3}(1/4 x-5)+6

inverse

f (x) = 2 lo g_{3} (\frac{1}{4} x - 5) + 6

4 \cdot 3^{\frac{x - 6}{2}} + 20

Solution steps

y = 2 lo g_{3} (\frac{1}{4} x - 5) + 6

Replace

x

with

y

x = 2 lo g_{3} (\frac{1}{4} y - 5) + 6

Solve for

y, x = 2 lo g_{3} (\frac{1}{4} y - 5) + 6

4 \cdot 3^{\frac{x - 6}{2}} + 20

What is the inverse of f(x)=2log_{3}(1/4 x-5)+6 ?
The inverse of f(x)=2log_{3}(1/4 x-5)+6 is 4*3^{(x-6)/2}+20