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  • log32乘以[根號(hào)(2+根號(hào)三)-根號(hào)(2-根號(hào)三)] 32是底數(shù)

    log32乘以[根號(hào)(2+根號(hào)三)-根號(hào)(2-根號(hào)三)] 32是底數(shù)
    數(shù)學(xué)人氣:901 ℃時(shí)間:2020-04-01 05:25:08
    優(yōu)質(zhì)解答
    [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
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