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数学
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log4 243 - log8 729=?log4 12 - log2 6=?
人气:485 ℃ 时间:2020-03-30 12:40:39
解答
=lg243/lg4-lg729/lg8
=5lg3/2lg2-6lg3/3lg2
=5lg3/2lg2-4lg3/2lg2
=lg3/lg4
=log4(3)
原式=lg12/lg4-lg6/lg2
=(2lg2+lg3)/2lg2-(lg3+lg2)/lg2
=-lg3/lg4
=log4(1/3)
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