SOLUTION: Rewrite the expressions as a single logarithm with coefficient 1:(-3/4)logbase3(16p^4)-(2/3)logbase3(8p^3)

Algebra ->  Rational-functions -> SOLUTION: Rewrite the expressions as a single logarithm with coefficient 1:(-3/4)logbase3(16p^4)-(2/3)logbase3(8p^3)      Log On


   

Question 1074783: Rewrite the expressions as a single logarithm with coefficient 1:(-3/4)logbase3(16p^4)-(2/3)logbase3(8p^3)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(-3/4)logbase3(16p^4)-(2/3)logbase3(8p^3)
==========
%28-3%2F4%29log%283%2C16p%5E4%29+-+%282%2F3%29log%283%2C8p%5E3%29
= log%283%2C%2816p%5E4%29%5E%28-3%2F4%29%29+-+log%283%2C%288p%5E3%29%5E%28-2%2F3%29%29
= log%283%2C%282p%29%5E%28-3%29%29+-+log%283%2C%282p%29%5E%28-2%29%29
= log%283%2C%281%2F%288p%5E3%29%29+-+log%283%2C1%2F%284p%5E2%29%29%29
= log%283%2C%284p%5E2%2F%288p%5E3%29%29%29
= log%283%2C%281%2F%282p%29%29%29