log_review_solution

log_review_solution - Name Log Review Problems Solutions...

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Name: Log Review Problems - Solutions Combine into one logarithm: 1) log 60 - log 4 = log ( 60 4 ) = log 15 2) log( a + b ) - log( a - b ) = log ( a + b a - b ) 3) log p + 2 log r - log 2 = log ± pr 2 2 ² 4) log 1 + log 2 + ··· + log( n - 1) + log n = log(1(2)(3) . . . ( n - 2)( n - 1) n ) = log( n !) Expand the logarithm completely: 1) log ab 3 = log a + 3 log b 2) log 9 b 4 5 (1 + a ) 3 = 3 log 2 + 4 5 log b + 3 log(1 + a ) 3) log a 3 3 b 2 c = 3 log a - 2 3 log b - 1 3 log c 4) log 4 r a 3 c b = 1 4 (3 log a + 1 2 log c - log b ) = 3 4 log a + 1 8 log c - 1 4 log b Properties of logs: If you know that log b 2 = m , log b 3 = n , log b 5 = r , and log b 7 = s then write the following logs in terms of m, n, r and s . 9) log b 2 3 = m - n 10) log b 2 log b 3 = m n 11) log b 2 2 = 2 m 12) (log b 2) 2 = m 2 13) log b 30 = log 2 + log 3 + log 5 = m + n + r 14) log b 350 = log 2 + 2 log 5 + log 7 = m + 2 r + s 15) log b 70 b = log 2 + log 5 + log 7 - 1 = m + r + s - 1 16) log b 1 3 = - log 3 = - n 17) (log
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This note was uploaded on 05/01/2008 for the course MATH 120 taught by Professor Smith during the Fall '07 term at Arizona.

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log_review_solution - Name Log Review Problems Solutions...

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