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Definition
For any positive numbes M and N and any logarithmic base a, logaMN = logaM + logaN. (The logarithm of a product is the sum of the logarithms of the factors.)
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Term
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Definition
For any positive number M and any logarithmic base a, and any real number p, loga M p = p loga M. The logarithmic of a power of M is the exponent times the logarithm of M.) |
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Term
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Definition
For any positive numbes M and N and any logarithmic base a, loga M/N = loga M - loga N. (The logarithm of a quotient is the logarithm of the numerator minus the logarithm of the denominator.) |
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Term
The Logarithm of a Base to a Power |
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Definition
For any base a and any real number x, loga ax = x. (The logarithm, base a, of a to a power is the power.)
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Term
A Base to a Logarithmic Power |
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Definition
For any base a and any positive real number x, aloga x = x. (The number a raised to the power loga x is x.)
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