SOLUTION: I need help with this problem. Convert to logarithmic form {{{3^2=9}}}

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Question 90465: I need help with this problem.
Convert to logarithmic form
3%5E2=9

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
The corresponding equations you need are:
.
By definition the logarithmic form log%28b%2Cx%29=y is equivalent to the exponential form b%5Ey+=+x
.
You are given:
.
3%5E2=9
.
by comparing this given to the exponential form you can see that b = 3, y = 2, and x = 9.
.
Now that you have identified b, y, and x all you have to do is to go to the logarithmic
form and substitute the values of b, y, and x into that form.
.
When you make those substitutions you get:
.
log%283%2C9%29=2
.
That's the answer you are looking for. To go back and forth between the two forms
(logarithmic and exponential) you need to memorize the two equations in the definition
and then given one of the forms, you can translate to the other form by identifying
the three values and plugging those values into the appropriate place in the other form.
.
Hope this helps you to understand the problem and the process for working it out.