MAT_1143-april_8

MAT_1143-april_8 - The negative y axis is a vertical...

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Click to edit Master subtitle style April 8, 2011 Section 6.4
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Exam 3 Exam 3 will be Wednesday April 20 It will cover 4.7, 5.1-5.6, 6.1-6.5 Review sheet Two review QUIZZES that I produced are available on Angel. (can do for extra credit) Will not have class April 13 and 15 (I am speaking in Indianapolis at a National Conference) Planning a review session on Tuesday, April 19 from ?? Can come and ask questions about material on the exam Would be good if you’ve done the review quiz first
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Logarithm Function We have been looking at logarithms to this point as a way to solve exponential equations like ek = 1.5 A: k = e1.5 B: k = ln(1.5) C: k = 1.5e D: k = 1.5/e 2t = 7
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The logarithm is a function We can sketch its graph We can complete a table as we would for any function May want to go to exponential form y = log10 x means 10y = x and select y’s to find x. x log10 x 1/10 -1 1 0 1 100 2 1000 3 Missing entry is: A: 2 B: 10 C: 1/10 D: 51
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Note, we have an x-intercept (1,0)
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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 1/10-1 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 level-decibels are based on logarithms Earthquakes-Richter scale is based on logarithms (so a 7 is 10 times stronger than a 6) Assignment 6.4 6.4: p.362-363: Exercises: 5, 7 Due April 11, 2011...
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MAT_1143-april_8 - The negative y axis is a vertical...

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