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

The answer is A, y=log_6 x.

Answer 2

Answer:

y=log_(6)x

Step-by-step 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:

$y=log_6 x$