作业帮log32乘以[根号（2+根号三）-根号（2-根号三）] 32是底数
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![log32乘以[根号（2+根号三）-根号（2-根号三）] 32是底数](/uploads/image/z/2808273-57-3.jpg?t=log32%E4%B9%98%E4%BB%A5%5B%E6%A0%B9%E5%8F%B7%EF%BC%882%2B%E6%A0%B9%E5%8F%B7%E4%B8%89%EF%BC%89-%E6%A0%B9%E5%8F%B7%EF%BC%882-%E6%A0%B9%E5%8F%B7%E4%B8%89%EF%BC%89%5D+32%E6%98%AF%E5%BA%95%E6%95%B0)
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log32乘以[根号（2+根号三）-根号（2-根号三）] 32是底数
log32乘以[根号（2+根号三）-根号（2-根号三）] 32是底数
log32乘以[根号（2+根号三）-根号（2-根号三）] 32是底数
[3^(1/2) + 1]^2 = 4 + 2(3)^(1/2),
2 + 3^(1/2) = [3^(1/2) + 1]^2/2,
[2 + 3^(1/2)]^(1/2) = [3^(1/2) + 1]/2^(1/2).
[3^(1/2) - 1]^2 = 4 - 2(3)^(1/2),
2 - 3^(1/2) = [3^(1/2) - 1]^2/2,
[2 - 3^(1/2)]^(1/2) = [3^(1/2) - 1]/2^(1/2).
[2 + 3^(1/2)]^(1/2) - [2 - 3^(1/2)]^(1/2)
= [3^(1/2) + 1]/2^(1/2) - [3^(1/2) - 1]/2^(1/2)
= 2/2^(1/2)
= 2^(1/2)
log_{32}{[2 + 3^(1/2)]^(1/2) - [2 - 3^(1/2)]^(1/2)}
= ln{2^(1/2)}/ln(32)
= [ln(2)/2]/[5ln(2)]
= 1/10
log32乘以[根号（2+根号三）-根号（2-根号三）] 32是底数
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