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

The inverse of f(x)=log_{5}(x-6)+2 is 5^{x-2}+6

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inverse of f(x)=log_{5}(x-6)+2

inverse

f (x) = lo g_{5} (x - 6) + 2

5^{x - 2} + 6

Solution steps

y = lo g_{5} (x - 6) + 2

Replace

x

with

y

x = lo g_{5} (y - 6) + 2

Solve for

y, x = lo g_{5} (y - 6) + 2

5^{x - 2} + 6

f (x) = 27 x^{3} + 1

f (x) = x - 1 + 2

3 - 4 sin (\frac{2}{3} (x - 1))

f (x) = (x + 5)^{2}

2 + \frac{1}{x}

What is the inverse of f(x)=log_{5}(x-6)+2 ?
The inverse of f(x)=log_{5}(x-6)+2 is 5^{x-2}+6