Law of Logs 18

^{Laws of Logarithms}

^{Laws of Logarithms:

1. log}a^{(u
v) = log}a^{(u)
+ log}a^{(v)
{The log of a product equals the sum of the logs.}

2. log}a^{(u/v)
= log}a^{(u)
- log}a^{(v)
{The log of a quotient equals the difference of the logs.}

3. log}a^(u^{^r}^{) = r log}a^(u)

Find the exact value of log ₆ 3 + log ₆ 12 without using a calculator.

log ₆ 3 + log ₆ 12	= log ₆ [3^.12]	Combine the two log terms into one term using the first law of logs.
	Show work.	Simplify the argument of the log function.

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