Question

Which of the following is the inverse of y=3^x?

A. Y = 1/3^x
B. Y=log(sub3X
C.Y=(1/3)^x
D. Y=log(sub1/3X

Answer 1

`y=log_3(x)`

Explanation:

the inverse of
`y=3^x`

To find inverse we swap the variable x and y . then we solve for y

`x=3^y`

Solve the equation for y by taking converting it into log form

`a=b^c` can be written as
`c=log_b(a)`

`x=3^y` can be written as
`y=log_3(x)`

Inverse of the given equation is

`y=log_3(x)`