**Properties of Logarithms and Exponents**

__Laws of Logarithms__

1.

2.

3.

__Laws of Exponents__

1.

2.

3.

**Ex 1** Simplify the expression
.

**Sol**
.

**Ex 2** Simplify the expression
.

**Sol**
.

**Pr A** Find all solutions of .

**Pr B** Simplify the expression

.

**Pr C** Use properties of logarithms to rewrite
as the logarithm of a single expression.

**Pr 1** Simplify the expression

.

**Pr 2** Simplify the expression

.

**Pr 3** If and , find
.

**Pr 4** Use properties of logarithms to rewrite

as the logarithm of a single expression.

**Pr 5** Simplify the expression
.

**Pr 6** Simplify the expression
.

**Pr 7** Simplify the expression
.

**Pr 8** If and , find .

Go to Solutions.

Return to Precalculus Home Page.

Lawrence Marx 2002-07-13