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33.不用计算器,证明:[log6]^2=/=log3*log12
人气:249 ℃ 时间:2020-05-16 14:32:16
解答
[log6]^2= [log2+log3]^2= [log2]^2+2*[log2]*[log3]+[log3]^2log3*log12= log3*[2*log2 + log3]= 2*[log2]*[log3]+[log3]^2[log6]^2 - log3*log12= [log2]^2=/= 0故 [log6]^2=/=log3*log12
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