Question

Which of the following is the inverse of y=6^x? y=log_(6)x, y=log_(x)6, y=log_((1)/(6))x, y=log_(6)6x

Answer 1

y=log_(6)x

Explanation:

From the definition of logarithm:

`x = log_b y` <--->
`y=b^x`

In our case, we have

`y=6^x`

which means that b=6, therefore the inverse function is

`x=log_6 y`

which can be rewritten by switching x and y:

`y=log_6 x`