33.不用计算器,证明:[log6]^2=/=log3*log12

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33.不用计算器,证明:[log6]^2=/=log3*log12
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33.不用计算器,证明:[log6]^2=/=log3*log12
33.不用计算器,证明:[log6]^2=/=log3*log12

33.不用计算器,证明:[log6]^2=/=log3*log12
[log6]^2
= [log2+log3]^2
= [log2]^2+2*[log2]*[log3]+[log3]^2
log3*log12
= log3*[2*log2 + log3]
= 2*[log2]*[log3]+[log3]^2
[log6]^2 - log3*log12
= [log2]^2
=/= 0
故 [log6]^2=/=log3*log12