Law of Logs 7

^{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)

Note that in this group (7 -14) of exercises, you will be using these laws from right to left.
That is, the expression given is of the form of an expression on the right hand side
and you will rewrite it in the form given on the left.

Use the above properties of logarithms to write log_ax + log_ay as the logarithm of a single quantity.

	The first law.	Note that the problem is the sum of two logs. Which law of logarithms is applicable to the problem?
log_ax + log_ay	Show work.	Apply this law of logarithms.

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