What is the inverse of f(x)=10^{x-6}+1 ?

The inverse of f(x)=10^{x-6}+1 is (ln(x-1))/(ln(10))+6

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inverse of f(x)=10^{x-6}+1

inverse

f (x) = 1 0^{x - 6} + 1

\frac{ln ( x - 1 )}{ln ( 10 )} + 6

Solution steps

y = 1 0^{x - 6} + 1

Replace

x

with

y

x = 1 0^{y - 6} + 1

Solve for

y, x = 1 0^{y - 6} + 1

\frac{ln ( x - 1 )}{ln ( 10 )} + 6

(- 2.2) (5)

f (x) = \frac{2}{5} x + 10

f (x) = lo g_{2} (x + 2)

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

11 x - 4 y = 32

What is the inverse of f(x)=10^{x-6}+1 ?
The inverse of f(x)=10^{x-6}+1 is (ln(x-1))/(ln(10))+6