### Concept (1)

Sometimes we use methods for expanding logarithms in complicated logarithmic terms. Expanding logarithms can be useful for obtaining more simplified terms. When **expanding logarithms** we use the rules of logarithms, including the power rule, the product rule and the quotient rule. Sometimes we use methods for expanding logarithms when evaluating logarithmic equations.

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Sample Problems
(6)

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###### Problem 1

How to use the laws of logarithms to expand a log of a quotient.

###### Problem 2

How to use the laws of logarithms to expand a log of a complicated quotient.

###### Problem 3

How to use the laws of logarithms to expand a log of negative powers of a complicated quotient.

###### Problem 4

How to expand logarithmic expressions using products and powers with focus on using the power rule.

###### Problem 5

How to expand logs using the quotients to sums and differences.

###### Problem 6

Connecting fractional roots and radical expressions with expanding logarithmic expressions.