a28 5a log properties

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Properties of Logarithms

Algebra 28.5

Properties of Logarithms

logbu lobbv lobbuv

log 10 = 1

Properties of Logarithms

logbu lobbv lobbuv

log 10 = 1 log 100 = 2

Properties of Logarithms

logbu lobbv lobbuv

log 10 = 1 log 100 = 2 log 1000 = 3

Properties of Logarithms

logbu lobbv lobbuv

log 10 = 1 log 100 = 2 log 1000 = 3

log 0.1 = -1 log 0.2 = -2

Properties of Logarithms

logbu lobbv lobbuv

log 10 = 1 log 100 = 2 log 1000 = 3

log 0.1 = -1 log 0.01 = -2 log 0.001 = -3

Properties of Logarithms

logbu lobbv lobbuv

log 10 = 1 log 100 = 2 log 1000 = 3

log 0.1 = -1 log 0.01 = -2 log 0.001 = -3

log2 4 = 2 log2 8 = 3

Properties of Logarithms

logbu lobbv lobbuv

log 10 = 1 log 100 = 2 log 1000 = 3

log 0.1 = -1 log 0.01 = -2 log 0.001 = -3

log2 4 = 2 log2 8 = 3 log2 32 = 5

Properties of Logarithms

Product Property logx AB = logx A + logx B

Quotient Property

Power Property

Properties of Logarithms

Product Property logx AB = logx A + logx B

Quotient Property logx A/B = logx A - logx B

Power Property

Properties of Logarithms

Product Property logx AB = logx A + logx B

Quotient Property logx A/B = logx A - logx B

Power Property logx AC = C logx A

Change of Base Formula

The common logarithm has a base b = 10.

The common logarithm has a base b = 10.

The natural logarithm has a base b = e.

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