Find the inverse of the power function.
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Answer:
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.