SOLUTION: I need to find the exact value of {{{log(a,b^2/c^3)}}}, given that {{{log(a,b)}}} = 8 and {{{log(a,c)}}} = -1. Thanks!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need to find the exact value of {{{log(a,b^2/c^3)}}}, given that {{{log(a,b)}}} = 8 and {{{log(a,c)}}} = -1. Thanks!      Log On


   

Question 444033: I need to find the exact value of log%28a%2Cb%5E2%2Fc%5E3%29, given that log%28a%2Cb%29 = 8 and log%28a%2Cc%29 = -1.
Thanks!
Answer by chriswen(106) About Me  (Show Source):
You can put this solution on YOUR website!
log%28a%2Cb%5E2%2Fc%5E3%29
=log%28a%2Cb%5E2%29-log%28a%2Cc%5E3%29
=2%2Alog%28a%2Cb%29-3%2Alog%28a%2Cc%29
=2%2A%288%29-3%2A%28-1%29
=16-%28-3%29
=19
Therefore, the exact value is 19.