SOLUTION: log 8 + log 5 - log 4

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Question 196668: log 8 + log 5 - log 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the default base of each log is 10.


log%2810%2C%288%29%29%2Blog%2810%2C%285%29%29-log%2810%2C%284%29%29 Start with the given expression.


log%2810%2C%288%2A5%29%29-log%2810%2C%284%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%2840%29%29-log%2810%2C%284%29%29 Multiply


log%2810%2C%2840%2F4%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%2810%29%29 Reduce


1 Evaluate the log base 10 of 10 to get 1


So log%2810%2C%288%29%29%2Blog%2810%2C%285%29%29-log%2810%2C%284%29%29=1