求log₂25×log₃2√2×log(5)9的结果，怎么做的啊??
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解决时间 2021-01-30 05:08
- 提问者网友：练爱
- 2021-01-29 04:41
求log₂25×log₃2√2×log(5)9的结果，怎么做的啊??
最佳答案
- 五星知识达人网友：野味小生
- 2021-01-29 05:06
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
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
全部回答
- 1楼网友：醉吻情书
- 2021-01-29 05:55
log₂25×log₃2√2×log(5)9
=2log₂5×(3/2)log₃2×(log₂9/log₂5)
=3log₃2×2log₂3
=6
=2log₂5×(3/2)log₃2×(log₂9/log₂5)
=3log₃2×2log₂3
=6
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