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计算㏒₂根号1/48+㏒₂12-1/2㏒₂24-（1/2）㏒₂3祝：最后一个的㏒₂3是小的
题目详情
计算㏒₂根号1/48+㏒₂12-1/2㏒₂24-（1/2）㏒₂3 祝：最后一个的㏒₂3是小的
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答案和解析
㏒₂根号1/48+㏒₂12-1/2㏒₂24-（1/2）㏒₂3
=(1/2)log(2)1/48+log(2)12-(1/2)log(2)24-(1/2)log(2)3
=-(1/2)log(2)(16*3)+log(2)(12/24)-(1/2)log(2)3
=-(1/2)log(2)16-(1/2)log(2)3+log(2)(1/2)-(1/2)log(2)3
=-(1/2)log(2)2^4-log(2)3-log(2)2
=-2-log(2)3-1
=-3-log(2)3.
=(1/2)log(2)1/48+log(2)12-(1/2)log(2)24-(1/2)log(2)3
=-(1/2)log(2)(16*3)+log(2)(12/24)-(1/2)log(2)3
=-(1/2)log(2)16-(1/2)log(2)3+log(2)(1/2)-(1/2)log(2)3
=-(1/2)log(2)2^4-log(2)3-log(2)2
=-2-log(2)3-1
=-3-log(2)3.
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