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

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

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inverse of f(x)=10^{x-10}-10

inverse

f (x) = 1 0^{x - 10} - 10

\frac{ln ( x + 10 )}{ln ( 10 )} + 10

Solution steps

y = 1 0^{x - 10} - 10

Replace

x

with

y

x = 1 0^{y - 10} - 10

Solve for

y, x = 1 0^{y - 10} - 10

\frac{ln ( x + 10 )}{ln ( 10 )} + 10

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