Law of Logs 12

^{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 logx -2 [log (x+2) + log(x-2)] as the logarithm of a single quantity.

logx -2 [log (x+2) + log(x-2)]	= logx -2 [log (x+2)(x-2)]	Apply the first law to combine the terms within square brackets into a single log term.
	Show work.	Apply the third law to the last term.

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