SOLUTION: log r - log t + 2 log s

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Question 149752: log r - log t + 2 log s
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
log%2810%2C%28r%29%29-log%2810%2C%28t%29%29%2B2log%2810%2C%28s%29%29 Start with the given expression.


log%2810%2C%28r%29%29-log%2810%2C%28t%29%29%2Blog%2810%2C%28s%5E2%29%29 Rewrite 2log%2810%2C%28s%29%29 as log%2810%2C%28s%5E2%29%29 using the identity y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29


log%2810%2C%28r%2Ft%29%29%2Blog%2810%2C%28s%5E2%29%29 Combine the logs using the identity log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29


log%2810%2C%28%28r%2Ft%29%28s%5E2%29%29%29 Combine the logs using the identity log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29


log%2810%2C%28rs%5E2%2Ft%29%29%29 Simplify.


So log%2810%2C%28r%29%29-log%2810%2C%28t%29%29%2B2log%2810%2C%28s%29%29 simplifies to log%2810%2C%28rs%5E2%2Ft%29%29%29