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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = lo g_{10} (1 - x^{2})

\frac{( 4 x - 1 )}{2 x + 3}

y = 2 x^{2} - 1

f (x) = \frac{3 x - 10}{2 x}

\frac{x + 4}{x + 7}

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