What is the inverse of f(x)=\sqrt[4]{4^{3(x-4)}} ?

The inverse of f(x)=\sqrt[4]{4^{3(x-4)}} is (2ln(x))/(3ln(2))+4

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inverse of f(x)=\sqrt[4]{4^{3(x-4)}}

inverse

\frac{2 ln ( x )}{3 ln ( 2 )} + 4

Solution steps

Replace

x

with

y

Solve for

\frac{2 ln ( x )}{3 ln ( 2 )} + 4

f (x) = sin (θ)

f (x) = f (x) = x^{3} - 5

g (x) = 2 x^{2} - 4 x + 8

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

f (x) = f (x) (x)^{- 1} (x) = (\frac{6}{5}) x - 9

What is the inverse of f(x)=\sqrt[4]{4^{3(x-4)}} ?
The inverse of f(x)=\sqrt[4]{4^{3(x-4)}} is (2ln(x))/(3ln(2))+4