Find the inverse of the power function.

Step-by-step explanation:

Find the inverse of y = x^7.

Start by interchanging x and y.  We get:  x = y^7

Next, solve this result for y.  Taking the log of both sides, we get:

log x = 7 log y.  Here the base of the log function is 10.

Then 7 log y = log x.

Dividing both sides of this result by 7, we get:

log y = (log x) / 7, or (1/7)log x.  This is basically the inverse of y = x^7.