What is the inverse of f(x)=36^{x+10}-60 ?

The inverse of f(x)=36^{x+10}-60 is (ln(x+60))/(2ln(6))-10

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inverse of f(x)=36^{x+10}-60

inverse

f (x) = 3 6^{x + 10} - 60

\frac{ln ( x + 60 )}{2 ln ( 6 )} - 10

Solution steps

y = 3 6^{x + 10} - 60

Replace

x

with

y

x = 3 6^{y + 10} - 60

Solve for

y, x = 3 6^{y + 10} - 60

\frac{ln ( x + 60 )}{2 ln ( 6 )} - 10

y = - 2 x + 7

x^{3} - 9 x^{2} + 27 x + 3

f (x) = 2 x^{4} - x^{2}

f (x) = 4 x + 1 - 4

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

What is the inverse of f(x)=36^{x+10}-60 ?
The inverse of f(x)=36^{x+10}-60 is (ln(x+60))/(2ln(6))-10