Question

Which of the following is the inverse of y=6^x?

Answer 1

X=6^y, pretty sure you just switch x and y

Answer 2

`y=log_6(x)`

Explanation:

the inverse of
`y=6^x`

To find inverse , we swap the variables. Replace x with y and y with x

`x=6^y`

Now solve for y

To solve for y , take log on both sides

`log x= log(6^y)`

Move the exponent y before log as per the log property

`log x= y log(6)`

Divide both sides by log 6

`y=(logx)/(log6)`

Apply change of base formula to get single log

`y=log_6(x)` is the inverse function