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Lecture 2

MTH 162 Lecture 2: 5.2 The Natural Logarithmic Function Notes

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MTH 162

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MTH 162 Calculus II 5.2 The Natural Logarithmic Function Notes L. Sterling Abstract Provide a generalization to the terms listed in this section. Logarithmic Function Base This would be towards base a with the following: a > 0 a 6= 1 y = logax Read as the following: y is the logarithm to the base; a; of x Definition y y = loa x ! x = a Domain x > 0 Domain and Range Logarithmic Function’s Domain 0 Exponential Function s Range (0; 1) Logarithmic Function’s Range Exponential Function s Domain (▯1; 1) y = log xa Logarithm : y = lag x y Exponential : x = a
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