(log5/log2+log0.2/log0.5)(log2/log0.2+log0.5/log5) 怎麼算 计算机等於
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(log5/log2+log0.2/log0.5)(log2/log0.2+log0.5/log5) 怎麼算 计算机等於-4
首先,有这么一个规律
lg0.2=lg5^(-1)=-lg5
对数的底数也满足这个规律
所以呢
log0.2/log0.5=log5/log2
log2/log0.2=-log2/log5
log0.5/log5=-log2/log5
(log5/log2+log0.2/log0.5)(log2/log0.2+log0.5/log5)
=2log5/log2 * (-) 2log2/log5
=-4
lg0.2=lg5^(-1)=-lg5
对数的底数也满足这个规律
所以呢
log0.2/log0.5=log5/log2
log2/log0.2=-log2/log5
log0.5/log5=-log2/log5
(log5/log2+log0.2/log0.5)(log2/log0.2+log0.5/log5)
=2log5/log2 * (-) 2log2/log5
=-4
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