Term
Logarithmic Function, Base a |
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Definition
We define y = loga x as that number y such that x = a y, where x > 0 and a is a positive constant other than 1.
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Term
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Definition
For any logarithm base a, loga 1 = 0 (This follows from the fact that a0 = 1.) |
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Term
Logarithm with the Same Base & Argument |
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Definition
For any logarithm base a, loga a = 1 (This follows from the fact that a1 = a.) |
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Term
Converting between Exponential Notation and Logarithmic Equations |
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Definition
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Term
The Natural Logarithm of 1 |
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Definition
For the logarithmic base e, ln 1 = 0.
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Term
The Natural Logarithm of e |
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Definition
For the logarithmic base e, ln e = 1.
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Term
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Definition
For any logarithmic bases a and b, and any positive number M, logb M = loga M / loga b
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