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Unformatted text preview: ing your work. (a) (3 points) 3 5 · log 2 (32 3 ) 5 = log 2 (32 3 ) = 3 log 2 (32) = 3 · 5. So log 2 (32 3 ) 5 = 3. So the whole thing is equal to 9 5 . (b) (2 points) log 3 (81) log 3 1 27 = log 3 (81) − log 3 (27) = 4 − 3 = − 4 3 (c) (2 points) Suppose log k x = 8. Then log k ( x √ x ) = 12. This is because log k ( x √ x ) = log k ( x 1 . 5 ) = 1 . 5 log k ( x ). 5. (3 points) Suppose that F and G are functions whose inputs and outputs are real numbers, deFned by F ( x ) = x 2 + 14 x and G ( x ) = √ x + 49. Compute the value of G ( F ( p )). G ( F ( p )) = G ( p 2 + 14 p ) = r p 2 + 14 p + 49 = r ( p + 7) 2 = p + 7 2...
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This note was uploaded on 11/08/2010 for the course 173 CS taught by Professor Fleck during the Spring '10 term at University of Illinois at Urbana–Champaign.
 Spring '10
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