高中对数计算

学习 时间:2026-04-07 23:39:49 阅读:4692
高中对数计算

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虚拟的小兔子

昏睡的冬天

2026-04-07 23:39:49

利用换底公式:logN=(logN)/(loga)这里:logN表示以a为底,N的对数。(log5+log125)(log2)/(log5)=[log5+(log5^3)/(log2^2)][(log2)]/[(log5)/(log√3)]=[log5+(3/2)(log5][(log2)]/[(log5)]*[(1/2)(log3)]=[(5/2)log5][(log2)]/[(log5)]*(1/2)=(5/4)(log5)(log2)/(log5)=(5/4)(log5)(log2)=(5/4)log5)(log2)/(log5)=5 /4

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  • 舒心的音响
    回复
    2026-04-07 23:39:49

    利用换底公式:logN=(logN)/(loga)这里:logN表示以a为底,N的对数。(log5+log125)(log2)/(log5)=[log5+(log5^3)/(log2^2)][(log2)]/[(log5)/(log√3)]=[log5+(3/2)(log5][(log2)]/[(log5)]*[(1/2)(log3)]=[(5/2)log5][(log2)]/[(log5)]*(1/2)=(5/4)(log5)(log2)/(log5)=(5/4)(log5)(log2)=(5/4)log5)(log2)/(log5)=5 /4

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