Law of Logs 9

^{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)

Use the above properties of logarithms to write 3 log_ax +2 log_a y as the logarithm of a single quantity.

The third law because each term must be put in the form log_au before combining the two terms.		Which of the above three laws is first applicable to this problem?
3 log_ax +2 log_a y	= log_ax³ + log_a y²	Apply the third law to each of the two terms.
	= Show work.	Combine the two terms into a log of a single term.

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