SOLUTION: Expand the logarithm {{{log(10,(2x^5/(yz^3)))}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Expand the logarithm {{{log(10,(2x^5/(yz^3)))}}}       Log On


   

Question 130689: Expand the logarithm


log%2810%2C%282x%5E5%2F%28yz%5E3%29%29%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

log%2810%2C%282x%5E5%2F%28yz%5E3%29%29%29 Start with the given expression


log%2810%2C%282x%5E5%29%29-log%2810%2C%28yz%5E3%29%29 Break up the log using the identity log%28b%2C%28A%2FB%29%29=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29


Break up the logs using the identity log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29



Rewrite the expression using the identity y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29