Question

Which of the following is the inverse of y=12^x ?

Answer 1

Work shown above! Answer should be D!

Answer 2

ANSWER

$y = log_{12}(x)$

EXPLANATION

We want to find the inverse of the exponential function,

$y = {12}^{x}$

The above function is an exponential function, so we expect the inverse to be a logarithmic function.

We now interchange x and y.

$x = {12}^{y}$

We now make y the subject by taking antilogarithm of both sides to obtain,

$y = log_{12}(x)$

This last function is the inverse of

.
$y = 12^x$

Hence the correct answer is D