9-2-3a - 2-3 Part I: Logarithmic FunctionsGraphing a log...

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Unformatted text preview: 2-3 Part I: Logarithmic FunctionsGraphing a log functionfunction y = log2x:x1481/2y23-1=======================================Can you do this in your head? 100 x 1000 = ??2-3 Part Ip. 1Properties of logsRecall: if m = 102then 2 = log m ***100000 = 100 x 1000mn=m x n105= 102x 10310log mn=10log mx 10log n(by ***)10log mn=10log m + log n(laws of exponents)log mn=log m + log n (if 10x= 10ythen x = y)the log of a product= the sumof the logs=========================================100 = 100000 1000m/n=m n102= 10510310log m/n=10log m10log n(by ***)10log m/n=10log m - log n(laws of exponents)log m/n=log m - log n (if 10x= 10ythen x = y)the log of a quotient= the differenceof the logs==========================================log mr= log mm m (for r factors)= log m + log m + . . . + log m (for r terms)= r log mlog mr= r log mthe log of a power= the exponent timesthe log of the base==========================================2-3 Part Ip. 2These relationships hold for any base:1. logamn=...
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9-2-3a - 2-3 Part I: Logarithmic FunctionsGraphing a log...

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