Properties of Logs

1
Properties of Logs

• Page 309 Exploration 1-5
• Be sure to write your answers down.

2
Product of Log Property

• logb MN logb M logb N

3
Quotient of a Log Property
4
Power of a Log Property

• logb Mk klogb M

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Examples...

• Write in terms of log M log N.
• log M4N2
• Answer 4log M 2log N

6
Another...

• Write in terms of log M log N.

7
Another...

• Write as a single logarithm
• ln 25 4ln 5 - ln 125
• Answer ln 125

8
Change of Base Property

• log4 15
• Answer 1.953
• Graph ylog5 x

9
Assimilate...

• Page 313 TIO 3-5
• When dealing with the four properties of logs,
  why must MN be positive numbers? (confused?
  what should you do?)

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Assignment

• Page 313 2-20, 23-31,39-47.