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 .

Lawrence Marx 2002-07-13