Question

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

Answer 1

Answer:

$y=log_6(x)$

Step-by-step 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

$y=\frac{logx}{log6}$

Apply change of base formula to get single log

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

Answer 2

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