What is the inverse of f(x)=2log_{7}(x-12) ?

The inverse of f(x)=2log_{7}(x-12) is 7^{x/2}+12

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inverse of f(x)=2log_{7}(x-12)

inverse

f (x) = 2 lo g_{7} (x - 12)

7^{\frac{x}{2}} + 12

Solution steps

y = 2 lo g_{7} (x - 12)

Replace

x

with

y

x = 2 lo g_{7} (y - 12)

Solve for

y, x = 2 lo g_{7} (y - 12)

7^{\frac{x}{2}} + 12

f (x) = 3 (x - 4)

f (x) = (\frac{- 1 x}{2}) - 5

4 x - \frac{1}{3}

f (x) = 0.8 x + 2

What is the inverse of f(x)=2log_{7}(x-12) ?
The inverse of f(x)=2log_{7}(x-12) is 7^{x/2}+12