Law of Logs 10

^{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 log_ax +2 log_a (y+1) - 3 log_a z as the logarithm of a single quantity.

log_ax +2 log_a (y+1) - 3 log_a z	= log_ax + log_a (y+1)² - log_a z³	Apply the third law to the last two terms.
	= Show work.	Apply the second law to the last two terms.

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