What is the inverse of f(x)=(3)^{(9)^x} ?

The inverse of f(x)=(3)^{(9)^x} is (ln(\frac{ln(x))/(ln(3)))}{2ln(3)}

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inverse of f(x)=(3)^{(9)^x}

inverse

f (x) = (3)^{(9)^{x}}

\frac{ln ( \frac{l n ( x )}{l n ( 3 )} )}{2 ln ( 3 )}

Solution steps

y = 3^{9^{x}}

Replace

x

with

y

x = 3^{9^{y}}

Solve for

y, x = 3^{9^{y}}

\frac{ln ( \frac{l n ( x )}{l n ( 3 )} )}{2 ln ( 3 )}

f (x) = \frac{8}{x + 3}

f (n) = \frac{4}{- n + 3} + 1

y = \frac{2 x + 1}{x - 1}

f (x) = \frac{( x + 4 )}{x - 7}

f (x) = arctan (- 3)

What is the inverse of f(x)=(3)^{(9)^x} ?
The inverse of f(x)=(3)^{(9)^x} is (ln(\frac{ln(x))/(ln(3)))}{2ln(3)}