What is the inverse of f(x)=(4)^{(7)^{(x)}} ?

The inverse of f(x)=(4)^{(7)^{(x)}} is (ln(\frac{ln(x))/(2ln(2)))}{ln(7)}

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inverse of f(x)=(4)^{(7)^{(x)}}

inverse

f (x) = (4)^{(7)^{(x)}}

\frac{ln ( \frac{l n ( x )}{2 l n ( 2 )} )}{ln ( 7 )}

Solution steps

y = 4^{7^{x}}

Replace

x

with

y

x = 4^{7^{y}}

Solve for

y, x = 4^{7^{y}}

\frac{ln ( \frac{l n ( x )}{2 l n ( 2 )} )}{ln ( 7 )}

What is the inverse of f(x)=(4)^{(7)^{(x)}} ?
The inverse of f(x)=(4)^{(7)^{(x)}} is (ln(\frac{ln(x))/(2ln(2)))}{ln(7)}