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# hw1ANSWERS - CS 173 Discrete Structures Spring 2010...

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CS 173: Discrete Structures, Spring 2010 Homework 1 This homework contains 5 problems worth a total of 45 points. It is due on Friday, January 29th at 4pm. The homework dropboxes are towards the east end of the main corridor of the Siebel basement, between the lounge area and the vending machines. Put your homework in the box marked with your discussion section. Be sure that your name and the day/time of your discussion section (e.g. “Monday 12”) are easy to read at the top of your homework. 1. [5 points] Demographic survey Finished! 2. [12 points] Logarithms, Exponents, etc (a) log b 8 . 7 c (0 . 125 d- 2 . 3 e ) (b) log 512 (1024 3 × 4096 5 ) = log 512 (1024 3 ) + log 512 (4096 5 ) = 3 log 512 (1024) + 5 log 512 (4096 =) 3 log 512 (512 * 2) + 5 log 512 (512 * 8) = 3(log 512 (512) + log 512 (2)) + 5(log 512 (512) + log 512 (8)) = 3(1 + 1 9 ) + 5(1 + 1 3 ) = 3( 10 9 ) + 5( 4 3 ) = 30 9 + 20 3 = 30 9 + 60 9 = 90 9 = 10 (c) - 1+(log 3 (log 5 (125 k ))) log 9 k = - 1 log 9 k + (log 3 (log 5 (125 k ))) log 9 k = - 1 log 9 k + (log 3 ( k log 5 (125))) log 9 k - 1 log 9 k + log 3 k log 9 k + log

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hw1ANSWERS - CS 173 Discrete Structures Spring 2010...

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