What is the inverse of f(x)=log_{10}(x+7)-5 ?

The inverse of f(x)=log_{10}(x+7)-5 is 10^{x+5}-7

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inverse of f(x)=log_{10}(x+7)-5

inverse

f (x) = lo g_{10} (x + 7) - 5

1 0^{x + 5} - 7

Solution steps

y = lo g_{10} (x + 7) - 5

Replace

x

with

y

x = lo g_{10} (y + 7) - 5

Solve for

y, x = lo g_{10} (y + 7) - 5

1 0^{x + 5} - 7

f (x) = 6 (x + 3)

f (x) = \frac{( 3 x ^{2} + 4 )}{8}

7 - x

f (x) = 3 x - 2 + 1

\frac{d}{d} - 2 x - 3

What is the inverse of f(x)=log_{10}(x+7)-5 ?
The inverse of f(x)=log_{10}(x+7)-5 is 10^{x+5}-7