a=log以3为底2的对数,b=log以3为底5的对数,用a,b,表示log以27为底100的对数,
人气：364 ℃ 时间：2020-06-03 16:48:15
解答
答：
a=log3(2),b=log3(5)
log27(100)
=log3(100)/log3(27)
=log3(10^2)/3
=2log3(10)/3
=(2/3)*[log3(2)+log3(5)]
=(2/3)*(a+b)
=2(a+b)/3
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