Fast,

a. expand the following and state the law that is indicated.

1. log4(3x)

2. log3(27/x)

3. log4(x5)

ANSWER

1.

2.

3.

EXPLANATION

1. The given logarithmic expression is

Use the product rule:

We apply this rule to obtain:

2. The given logarithmic expression is

We apply the quotient rule:

This implies that;

We simplify to get;

Apply the power rule:

simplify;

3. The given logarithmic expression is;

Apply the power rule of logarithms.

This implies that,