Question

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

Answer 1

Explanation:

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

Swap x and y.

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

Solve for y.

`x= 4 log_(4)(y)`

`(1)/(4) x = log_(4)(y)`

`4 {}^{ (1)/(4)x } = y`

So the inverse is

`4 {}^{ (x)/(4) } = f {}^( - 1) (x)`