一道易题log(根号2-1)*(3+2根号2)计算

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一道易题log(根号2-1)*(3+2根号2)计算
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一道易题log(根号2-1)*(3+2根号2)计算
一道易题
log(根号2-1)*(3+2根号2)计算

一道易题log(根号2-1)*(3+2根号2)计算
log(根号2-1)*(3+2根号2)
=log(√2-1)*[(√2+1)^2]
=log(√2-1)*[(√2-1)^(-2)]
=-2
补充:√2+1=1/(√2-1)=(√2-1)^(-1)