COLLEGEALGEBRA
Lesson: Properties of Logarithms
Objectives: 1. To expand a logarithmic expression;
2. To rewrite a sum of logarithms as a single logarithm.
Exponents’ rules:
1, ∙,
, ∙,
.
Logarithmic rules
If x, y > 0, a> 0 with 1, then the following relations take place:
∙
∙
and
10 and 1
Helpful rules
,
,
Ex 1: Expand the expression ∙√1 into a sum of logarithms.
Using the properties of logs, we have: ∙√1
√1
= 4
1.
Ex 2: Expand the expression √
into a sum of logarithms.
Using the properties of logs, we have: √
√2
5
=
2
5.
