SOLUTION: logx -log7-log8 written as a single logarithm

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Question 376611: logx -log7-log8
written as a single logarithm
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression.


... Factor out a negative from the last two terms.


... Combine the last two logs using the identity log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29


... Multiply


... Combine the two logs using the identity log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29


So


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Jim