What is the inverse of f(x)=7^{5^x} ?

The inverse of f(x)=7^{5^x} is (ln(\frac{ln(x))/(ln(7)))}{ln(5)}

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inverse of f(x)=7^{5^x}

inverse

f (x) = 7^{5^{x}}

\frac{ln ( \frac{l n ( x )}{l n ( 7 )} )}{ln ( 5 )}

Solution steps

y = 7^{5^{x}}

Replace

x

with

y

x = 7^{5^{y}}

Solve for

y, x = 7^{5^{y}}

\frac{ln ( \frac{l n ( x )}{l n ( 7 )} )}{ln ( 5 )}

g (x) = \frac{9 x}{8 x - 7}

f (x) = \frac{5 x - 3 x}{2 x - 3}

600 - 2 t^{2}

- 0.5

- 0.3

What is the inverse of f(x)=7^{5^x} ?
The inverse of f(x)=7^{5^x} is (ln(\frac{ln(x))/(ln(7)))}{ln(5)}