SOLUTION: Help! I need help with two problems on my pre-test for my finals. 1. Write log 125 base 5 = 3 in exponential form 2. Simplify:Log 6 base 6

Question 112946: Help! I need help with two problems on my pre-test for my finals.
1. Write log 125 base 5 = 3 in exponential form
2. Simplify:Log 6 base 6

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember, any logarithm of the form can be written in exponential form as

#1
So can be written as

------------
#2
Now to simplify , you can write the expression as

Now rewrite the log as an exponent

====>

So we can write the right side as since anything to the first power is itself.

So we then get:

Now since the bases are equal, the exponents are equal. In other words,

So going back to we can see that
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