Law of Logs 17

^{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 5 ln e³ without using a calculator.

5 ln e³	= 5 ^. 3	Use the fact that y = ln x and y = e^x are inverse functions.{i.e. ln e ^x = x}
	Show work.	Perform the multiplication.

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