高中对数计算

学习 时间:2026-06-04 23:11:42 阅读:9119
高中对数计算

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谨慎的皮带

威武的盼望

2026-06-04 23:11:42

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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  • 忧心的板凳
    回复
    2026-06-04 23:11:42

    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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