You can
put this solution on YOUR website!The rule is as follows:
.

is equivalent to

.
So in

a = 2, b = 16, and y = 4. Therefore, the equivalent exponential
form is

.
Your next problem has a typo or your source of the problem is trying to see if you can catch
the error. You are given that

. In this form a = 2, b = 125, and y = 3,
so the "equivalent" exponential form is

. But notice that this is not true.
The original problem should be

. The equivalent exponential form is
then

and this is true.
.
Finally you are given the exponential form

and are asked to convert it
to logarithmic form. By comparing this given with the exponential rule, you can see that
a = 10, b = 0.1, and y = -1. Substituting these into the logarithmic rule you get the
equivalent form

.
.
Hope this helps you to understand this conversion process.