What is the inverse of f(x)=2log_{10}(x-2) ?

The inverse of f(x)=2log_{10}(x-2) is 10^{x/2}+2

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inverse of f(x)=2log_{10}(x-2)

inverse

f (x) = 2 lo g_{10} (x - 2)

1 0^{\frac{x}{2}} + 2

Solution steps

y = 2 lo g_{10} (x - 2)

Replace

x

with

y

x = 2 lo g_{10} (y - 2)

Solve for

y, x = 2 lo g_{10} (y - 2)

1 0^{\frac{x}{2}} + 2

f (x) = \frac{5}{x + 3} + 7

f (x) = 4 + ln (x)

\frac{4}{3} π r^{3}

\frac{1}{4} x - 7

f (x) = \frac{2}{3} x + 12

What is the inverse of f(x)=2log_{10}(x-2) ?
The inverse of f(x)=2log_{10}(x-2) is 10^{x/2}+2