KU MATH 101 - Exponential & Logarithmic Functions - Graphs

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4 3 Exponential Logarithmic Functions Graphs 1 Use transformations to make accurate graphs of each function Find the domain and range of each function Find the equation of the asymptote of each function a 2 b c 3 2 d 3 2 e 2 2 f 1 4 4 4 Logarithmic Functions Properties 1 Write in exponential form a log416 2 2 Use change of base to express the logarithm as a quotient of natural logarithms then evaluate to 3 decimal places a log24 b log5625 4 c ln1 0 d log 00001 5 b log5125 c log 100 d ln e 3 Using properties of logarithms expand each expression as much as possible log 2 4 log 100 5 5 3 a b b log x2 y2 2log x y b 2log39 log327 4 Using properties of logarithms rewrite each expression as a single logarithm a 2log x 3log y 5 Using properties of logarithms and change of base evaluate each expression a log24 log216 4 5 Exponential Logarithmic Functions Equations 1 Solve by relating the bases a 4x 16 b 812x 9x 5 c e5x 2 13 2 Solve for x Give both an exact answer and a 3 decimal place approximation when applicable a log 2 x 3 4 2 2 b ln 5x c ln x ln x 3 28 d 2 3x 2 13 e log x 2 log x 1 4 f 32x 5 3x 3 3 g e4x 2 e2x 1


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KU MATH 101 - Exponential & Logarithmic Functions - Graphs

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