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.

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step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.