What is the inverse of y=5^{(x-3)}-11 ?

The inverse of y=5^{(x-3)}-11 is (ln(x+11))/(ln(5))+3

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inverse of y=5^{(x-3)}-11

inverse

y = 5^{(x - 3)} - 11

\frac{ln ( x + 11 )}{ln ( 5 )} + 3

Solution steps

y = 5^{x - 3} - 11

Replace

x

with

y

x = 5^{y - 3} - 11

Solve for

y, x = 5^{y - 3} - 11

\frac{ln ( x + 11 )}{ln ( 5 )} + 3

3 y = x + 4

y = \frac{x}{x ^{2} - 9}

f (x) = 2 x + 5 y = 320

\frac{x + 4}{x ^{2} - 1}

What is the inverse of y=5^{(x-3)}-11 ?
The inverse of y=5^{(x-3)}-11 is (ln(x+11))/(ln(5))+3