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(1/4)^log以4为底3+(1/5)^log以4为底3-(1/3)^log以3为底5 求值
人气:153 ℃ 时间:2020-07-13 21:11:25
解答
(1/4)^log以4为底3+(1/5)^log以5为底3-(1/3)^log以3为底5
=1/3+1/3-1/5
=7/15利用对数恒等式a^log以a为底N=N对啊,就是利用对数恒等式a^log以a为底N=N(1/4)^log以4为底3求出是1/3(1/4)^log以4为底3=4^-log以4为底3=4^log以4为底3的-1次方=4^log以4为底1/3=1/3
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