计算:log2(8)×log4(5)×log5(16)
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计算:log2(8)×log4(5)×log5(16)
计算:log2(8)×log4(5)×log5(16)
计算:log2(8)×log4(5)×log5(16)
log2(8)×log4(5)×log5(16)
=lg8/lg2×lg5/lg4×lg16/lg5
=3lg2/lg2×lg5/2lg2×4lg2/lg5
约分
=3×1/2×4
=6
log2(8)=log2(2³)=3log2(2)=3×1=3
log5(4²)=2log5(4)
原式
=3×log4(5)×2log5(4)
=6×[log4(5)×log5(4)]
=6×1
=6
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计算:log2(8)×log4(5)×log5(16)
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