SOLUTION: use the properties of log. to evalueate the expression log.a cube root a^2

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: use the properties of log. to evalueate the expression log.a cube root a^2      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 153505: use the properties of log. to evalueate the expression log.a cube root a^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate:
log%28%28a%29%2Aroot%283%2Ca%5E2%29%29 Rewrite this as:
log%28%28%28a%29%2Aa%5E%282%2F3%29%29%29 Apply the product rule for logs: log%28M%2AN%29+=+log%28M%29%2Blog%28N%29
log%28%28a%29%29%2Blog%28a%5E%282%2F3%29%29 Apply the power rule for logs: log%28%28M%29%5En%29+=+n%2Alog%28%28M%29%29
log%28%28a%29%29%2B%282%2F3%29log%28%28a%29%29 Perform the addition.
%285%2F3%29%2Alog%28%28a%29%29+=+log%28%28a%5E%285%2F3%29%29%29