What is the inverse of f(x)=log_{10}(x-3)-5 ?

The inverse of f(x)=log_{10}(x-3)-5 is 10^{x+5}+3

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inverse of f(x)=log_{10}(x-3)-5

inverse

f (x) = lo g_{10} (x - 3) - 5

1 0^{x + 5} + 3

Solution steps

y = lo g_{10} (x - 3) - 5

Replace

x

with

y

x = lo g_{10} (y - 3) - 5

Solve for

y, x = lo g_{10} (y - 3) - 5

1 0^{x + 5} + 3

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

f (x) = - 1 + 25 x

12 - 5 x^{3}

f (x) = 5 x - 5

f (x) = 5 + 5 x - 9

What is the inverse of f(x)=log_{10}(x-3)-5 ?
The inverse of f(x)=log_{10}(x-3)-5 is 10^{x+5}+3