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Section 3.2A

Section 3.2A - X y y x n 16 2 2 3 2 4 log 25 1 4 1 log log...

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1 Warm-up for Section 3.2A Find the inverse of each, if it exists 1 3 3 1 2 2 1 - = - = + - = x y x y x y

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2 Definition of Logarithmic Function For x > 0 and 0 < a ≠ 1, y = log a x if and only if x = a y . Note y is the exponent and y is a log y = log a x is the inverse of y = a x. R b R p x a x y p b y a = = = = log log
3 Rewrite each equation in the other form and complete the chart Exponential Form Logarithmic Form n = 3 -5 4 x+3 = ½ y+2 =log 3 n log W = -5

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4
5 Evaluate each expression without a calculator. 1 log . 4 log . 3 27 log . 2 32 log . 1 7 100 1 10 9 2

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6 Solve each equation.

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Unformatted text preview: X y y x n 16 2 2 3 2 4 log 25 . 1 . 4 ) 1 ( log log . 3 25 log . 2 64 log 2 . 1 =--= = = + 7 The Common Log • y = log 10 x is written as y = log x • Evaluate each: • log 2 log 1000 • log 10-3 10 log 0.25 • log (-10) log 1 • log (1/100) 2log ( 10 4.7 ) 8 The Natural Log • y = log e x is written as y = ln x • Evaluate each: • ln 2 ln 0.3 • ln e 3 e ln 7 • ln (-3) ln 1 • ln (1/e) 2ln (e-4 )...
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