Properties of Logarithms
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Last updated 5:37 AM on 3/13/26
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5 Terms
1
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Definition-Based Properties
loga1 = 0
logaa = 1
logaax = x
alogₐx = x
2
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Product Property of Logarithms
loga(n) + loga(m) = loga (n⋅m)
3
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Quotient Property of Logarithms
logan - logam = loga(n/m)
4
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Power Property of Logarithms
loga(n)m = m⋅logan
5
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Change of Base Property of Logarithms
logan = logn/loga OR ln(n)/ln(a)
