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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
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
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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• Spring '11
• Inverse function, Natural logarithm, Logarithm, Master subtitle style, logarithms Sound level-decibels, logarithms Earthquakes-Richter scale

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

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