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求log₂25×log₃2√2×log(5)9的结果,
人气:125 ℃ 时间:2020-01-27 04:11:35
解答
log₂25=log₂5^2 =2log₂5=2log5 / log2
log₃2√2=log₃2^(3/2)=(3/2)log₃2=(3/2)*(log2 /log3)=3log2 /2log3
log(5)9=log(5)3^2=2log(5)3 =2*(log3/log5)=2log3 /log5
所求=2log5 / log2 * 3log2 /2log3 *2log3 /log5 =6...ans
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