(log以5为底根号2的对数×log以49为底81的对数)÷(log以25为底1/3的对数×log以7为底4的3次方根的对...
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解决时间 2021-03-28 17:32
- 提问者网友:山高云阔
- 2021-03-28 05:11
(log以5为底根号2的对数×log以49为底81的对数)÷(log以25为底1/3的对数×log以7为底4的3次方根的对...
最佳答案
- 五星知识达人网友:妄饮晩冬酒
- 2021-03-28 05:38
(log5√2×log4981) ÷(log251/3×log74∧3)
=[1/2 lg2×4 lg3/( lg5×2 lg7)]/[- lg3×6 lg2/(2 lg5×lg7)]
=( lg2× lg3/ lg5× lg7)/(-3 lg2× lg3/ lg5×lg7)
=-1/3
=[1/2 lg2×4 lg3/( lg5×2 lg7)]/[- lg3×6 lg2/(2 lg5×lg7)]
=( lg2× lg3/ lg5× lg7)/(-3 lg2× lg3/ lg5×lg7)
=-1/3
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- 1楼网友:想偏头吻你
- 2021-03-28 06:39
(log以5为底根号2的对数×log以49为底81的对数)÷(log以25为底1/3的对数×log以7为底4的3次方根的对数)
=1/2lg2/lg5*lg81/lg49÷(-lg3/lg25*1/3lg4/lg7)
=-3/2lg2/lg5*lg81/lg49*lg25/lg3*lg7/lg4
=-3/2*4*1/2*2*1/2*lg2/lg5*lg3/lg7*lg5/lg3*lg7/lg2
=-3
=1/2lg2/lg5*lg81/lg49÷(-lg3/lg25*1/3lg4/lg7)
=-3/2lg2/lg5*lg81/lg49*lg25/lg3*lg7/lg4
=-3/2*4*1/2*2*1/2*lg2/lg5*lg3/lg7*lg5/lg3*lg7/lg2
=-3
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