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Unformatted text preview: The negative y axis is a vertical asymptote log10 (neg) is undefined. loga x for any base a has essentially this shape. x log10 x 1/101 1 10 1 100 2 1000 3 These two properties mean that the exponential and the logarithm are inverses of each other. Much like y = x2 and y = sqrt(x). (sqrt(x))2 = x and sqrt(x2)=x x a x a = log x a x a = log Graphs of Inverse Functions They are mirror images of each other about the line y = x. x2 and sqrt(x) Graphs of Inverse Functions They are mirror images of each other about the line y = x. 10x and log10 x Logarithm Functions Logarithms have their own applications pH scale for acidity is based on logarithms Sound leveldecibels are based on logarithms EarthquakesRichter scale is based on logarithms (so a 7 is 10 times stronger than a 6) Assignment 6.4 6.4: p.362363: Exercises: 5, 7 Due April 11, 2011...
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 Spring '11

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