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Unformatted text preview: cannon (kgc299) HW02 berg (54595) 1 This printout should have 8 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Determine which, if any, of f ( x ) = 256(16 3 x ) , g ( x ) = parenleftbigg 1 16 parenrightbigg 3 x 2 , h ( x ) = 256(4 6 x ) , define the same function. 1. only g, h 2. none of f, g, or h 3. only f, h 4. only g, f 5. f, g, and h correct Explanation: By the laws of Exponents f ( x ) = 256(16 3 x ) = 16 2 (16 3 x ) = 16 2 3 x , while g ( x ) = parenleftbigg 1 16 parenrightbigg 3 x 2 = 16 (3 x 2) = 16 2 3 x and h ( x ) = 256(4 6 x ) = 16 2 ( 4 2 ) 3 x = 16 2 (16 3 x ) = 16 2 3 x Consequently, all of f, g, and h define the same function. 002 10.0 points Find the solution of the exponential equa tion 3 5 x = 9 x +12 . 1. x = 6 2. x = 6 3. x = 8 correct 4. none of these 5. x = 8 Explanation: By properties of exponents, 9 x +12 = 3 2 x +24 ....
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This note was uploaded on 02/23/2012 for the course MATH 408K taught by Professor Gualdani during the Spring '09 term at University of Texas at Austin.
 Spring '09
 Gualdani
 Differential Calculus

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