搜搜考试网高中对数计算
来源：学生作业帮 编辑：搜搜考试网作业帮 分类：数学作业 时间：2024/06/22 23:35:09
高中对数计算
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
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