For soldiers in a desert there are food provisions for 60 days. If after 15 days 500 soldiers joined them and the food lasts 40 days longer, how many soldiers are there in the desert?(Assume food consumption for each soldier per day is equal.)
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log(1−2x)−2log(x)=1−log(2−5x)log(1−2x)−log(x2)=log(10)−log(2−5x)log(x21−2x)=log(2−5x10)(x21−2x)=(2−5x10)(2−5x)(1−2x)=10x22−2x−5x+10x2=10x27x=2x=72
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