What is the inverse of f(x)=10^{x-3}+1 ?

The inverse of f(x)=10^{x-3}+1 is (ln(x-1))/(ln(10))+3

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inverse of f(x)=10^{x-3}+1

inverse

f (x) = 1 0^{x - 3} + 1

\frac{ln ( x - 1 )}{ln ( 10 )} + 3

Solution steps

y = 1 0^{x - 3} + 1

Replace

x

with

y

x = 1 0^{y - 3} + 1

Solve for

y, x = 1 0^{y - 3} + 1

\frac{ln ( x - 1 )}{ln ( 10 )} + 3

y = \frac{2}{3} x - 5

f (x) = 4 x^{3} - 6 x^{2} + 9 x - 8

f (x) = 2 x^{3} + 3

x - 15 y = - 15

\frac{1}{3}

What is the inverse of f(x)=10^{x-3}+1 ?
The inverse of f(x)=10^{x-3}+1 is (ln(x-1))/(ln(10))+3