Logarithms and Natural Log Equations

Use Properties of Logarithms to fully expand.

• True, subtraction between two logarithms is division in condensed form.

• True, a logarithm is an exponent. When dividing like bases you subtract exponents therefor dividing logarithms as in this example.

• False, subtraction between two logarithms is division within a single logarithm in condensed form.

Condense

• A

• B

• C

• D

Condense

• A

• B

• C

• D

Expand log(x⁷)

• log(7x)

• log7+logx

• xlog7

• 7logx

Which of the following illustrates the Product Property of Logarithms

• log₃(x) ⋅ log₃(y) = log₃(x+y)

• log₃(x) ⋅ log₃(y) = log₃(xy)

• log₃(x) + log₃(y) = log₃(xy)