Product Rule for Logarithms
Let’s show that
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
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