SOLUTION: Express as a single log of a single argument: 3log5 12-log5 36

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Question 117193: Express as a single log of a single argument:
3log5 12-log5 36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3log%285%2C%2812%29%29-log%285%2C%2836%29%29


log%285%2C%2812%29%5E3%29-log%285%2C%2836%29%29 Rewrite each log using the identity y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29


log%285%2C%28%2812%29%5E3%2F%2836%29%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%285%2C%281728%2F%2836%29%29%29 Raise 12 to the 3rd power to get 1,728


log%285%2C%2848%29%29 Divide