math_1315_spr08_test_3 - 3 )-1 2 log a (2 x + 3) (b) 21 log...

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1 2 3 4 5 6 7 Total MATH 1315 Exam 3 Instructor: C. Gunning Name: 1. 15 points Solve the following equations: (a) 9 2 x = 27 (b) 4 x 2 = 2 x (c) ( e 4 ) x · e x 2 = e 12 1
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2. 10 points Graph the following equations by hand. Show all work (including explaining transformations) and label asymptotes and at least one point on graph. (a) f ( x ) = - 2 x + 1. (b) g ( x ) = - 2 + 3 - x 3. 15 points Evaluate the following by hand (show work!). (a) ln e 2 (b) log 6 18 - log 6 3 (c) log 6 9 + log 6 4 2
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4. 10 points Write each expression as a sum/difference of logarithms. Express powers as factors. (a) log 2 ± x 3 x - 3 ² (b) log a ( u 2 v 3 ) 5. 10 points Write each expression as a single logarithm. (a) 2 log a (5 x
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Unformatted text preview: 3 )-1 2 log a (2 x + 3) (b) 21 log 3 3 x + log 3 (9 x 2 )-log 3 (9 x ) 3 6. 20 points Solve the following. (a) 3 x = 14 (b) 3 log 2 ( x-1) + log 2 4 = 5 (c) log a x + log a ( x-2) = log a ( x + 4) 7. 20 points The formula D = 5 e-. 4 h can be used to nd the number of milligrams D of a certain drug that is in a patients bloodstream h hours after the drug has been administered. When the number of milligrams reaches 2, the drug is to be administered again. What is the time between injections? 4...
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math_1315_spr08_test_3 - 3 )-1 2 log a (2 x + 3) (b) 21 log...

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