Vocabulary

​Condense- Rewriting logarithms in simplest for (1 term)

Expand​- Rewriting logarithms from 1 term, to multiple terms.

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3 Logarithmic Properties

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1. Product Rule

2. Quotient Rule

3. Power Rule

Product Rule

​log_b(MN) = log_b(M) + log_b(N)

​Example:

​

log₇8 + log₇6 = ?​

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Remember!!!

​To use these logarithmic properties, the log bases MUST be the same!

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Quotient Rule

​log_b(M/N) = log_bM - log_bN

Example:

​

log₅20 - log₅4 = ?​

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Power Rule

​log_bM^p = p ⋅ log_bM

Example:

​

3 ⋅ log₄8 = ?

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