What is the inverse of f(x)=10^{x-2}+4 ?

The inverse of f(x)=10^{x-2}+4 is (ln(x-4))/(ln(10))+2

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inverse of f(x)=10^{x-2}+4

inverse

f (x) = 1 0^{x - 2} + 4

\frac{ln ( x - 4 )}{ln ( 10 )} + 2

Solution steps

y = 1 0^{x - 2} + 4

Replace

x

with

y

x = 1 0^{y - 2} + 4

Solve for

y, x = 1 0^{y - 2} + 4

\frac{ln ( x - 4 )}{ln ( 10 )} + 2

f (x) = 8 (x - 7)^{2} + 22

y = \frac{3}{2} x + 4

f (x) = \frac{x}{x - 25}

f (x) = 5 \cdot 7^{1 - x}

g (x) = \frac{8 - 5 x}{4}

What is the inverse of f(x)=10^{x-2}+4 ?
The inverse of f(x)=10^{x-2}+4 is (ln(x-4))/(ln(10))+2