Question

Please find the inverse of this y=log base 4 x^4

Answer 1

Step-by-step explanation:

$y = log_{4}( {x}^{4} )$

Swap x and y.

$x = log_{4}( {y}^{4} )$

Solve for y.

$x= 4 log_{4}(y)$

$\frac{1}{4} x = log_{4}(y)$

$4 {}^{ \frac{1}{4}x } = y$

So the inverse is

$4 {}^{ \frac{x}{4} } = f {}^{ - 1} (x)$