求几道对数化简题的答案利用对数的换底公式化简1.loga(c)3*logc(a)2.log2(3)*log3(4)*log4(5)*log5(2)3.(log4(3)+log8(3))*(log3(2)+log9(2))第一道题没有3
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![求几道对数化简题的答案利用对数的换底公式化简1.loga(c)3*logc(a)2.log2(3)*log3(4)*log4(5)*log5(2)3.(log4(3)+log8(3))*(log3(2)+log9(2))第一道题没有3](/uploads/image/z/394451-35-1.jpg?t=%E6%B1%82%E5%87%A0%E9%81%93%E5%AF%B9%E6%95%B0%E5%8C%96%E7%AE%80%E9%A2%98%E7%9A%84%E7%AD%94%E6%A1%88%E5%88%A9%E7%94%A8%E5%AF%B9%E6%95%B0%E7%9A%84%E6%8D%A2%E5%BA%95%E5%85%AC%E5%BC%8F%E5%8C%96%E7%AE%801.loga%28c%293%2Alogc%28a%292.log2%283%29%2Alog3%284%29%2Alog4%285%29%2Alog5%282%293.%28log4%283%29%2Blog8%283%29%29%2A%28log3%282%29%2Blog9%282%29%29%E7%AC%AC%E4%B8%80%E9%81%93%E9%A2%98%E6%B2%A1%E6%9C%893)
求几道对数化简题的答案利用对数的换底公式化简1.loga(c)3*logc(a)2.log2(3)*log3(4)*log4(5)*log5(2)3.(log4(3)+log8(3))*(log3(2)+log9(2))第一道题没有3
求几道对数化简题的答案
利用对数的换底公式化简
1.loga(c)3*logc(a)
2.log2(3)*log3(4)*log4(5)*log5(2)
3.(log4(3)+log8(3))*(log3(2)+log9(2))
第一道题没有3
求几道对数化简题的答案利用对数的换底公式化简1.loga(c)3*logc(a)2.log2(3)*log3(4)*log4(5)*log5(2)3.(log4(3)+log8(3))*(log3(2)+log9(2))第一道题没有3
1. lgc/lga×lga/lgc
=1
2.log2(3)*log3(4)*log4(5)*log5(2)
=lg2/lg3×lg3/lg4×lg4/lg5×lg5/lg2
约分
=1/lg2×lg2
=1
3.(log4(3)+log8(3))*(log3(2)+log9(2))
=(log2底^2对3+log2底^3对3)×(log3底2+log3底^2对2)
次数移到前面来
=(1/2log2底3+1/3log2底3)×(log3底2+1/2log3底2)
同底对数之和相乘 之差相除
=5/6log2底9×1/2log3底4
=5/6log2底3^2×log3底2^2
=5/3log2底3×log3底2
=5/3(lg3/lg2×lg2/lg3)
=5/3
我马上 学高中 看得我都怕怕怕;了