Pre-Calculus Tutorial
Product Rule for Logarithms
Intro
Let’s show that 
PROOF:
1. Let 
…. We can name it anything we like
2. Let 
…. Again we can name it anything we like
3. 
and 
… Equivalent exponential forms of the statements in steps 1 and 2.
4. 
.. Reason: If A=B & C=D, then AC=BD.
5. 
..Reason: Property of exponents: AQ•AS=AQ+S.
6. 
.Reason: Taking log (base a) of both sides.
7. 
Reason: same expression as step 6
8. 
. Substituting from steps 1 and 2 into step 7
Sample Problem
…. 2*2*2 = 8
… 2*2*2 *2=16
….. 
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