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设logaC,logbC是方程x2-3x+1=0的两根,求loga/bC的值
人气:418 ℃ 时间:2020-03-16 04:54:33
解答
log(a/b)[c]=1/{log(c)[a/b]}而:log(c)[a/b]=log(c)[a]-log(c)[b]. =1/{log(a)[c]}-1/{log(b)[c]}. =(1/x1)-(1/x2)则:log(a/b)[c]=1/[(1/x1)-(1/x2)]=(x1x2)/(x2-x1)
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