求值(log2 5+log4 1/5)(log5 2+log25 1/2)
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(log2 5+log4 1/5)(log5 2+log25 1/2)
=(log2 5-log4 5)(log5 2-log25 2)
=(lg5/知铅lg2-lg5/搭派好lg4)(lg2/lg5-lg2/lg25)
=1/2lg5/羡戚lg2*1/2lg2/lg5
=1/4
=(log2 5-log4 5)(log5 2-log25 2)
=(lg5/知铅lg2-lg5/搭派好lg4)(lg2/lg5-lg2/lg25)
=1/2lg5/羡戚lg2*1/2lg2/lg5
=1/4
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(log2 5+log4 1/5)(log5 2+log25 1/吵扰姿2)
=[lg5/李斗lg2-lg5/(2lg2)][lg2/lg5-lg2/(2lg5)]
=(1/2)(lg5/lg2)*(1/2)(lg2/log5)
=1/升绝4
=[lg5/李斗lg2-lg5/(2lg2)][lg2/lg5-lg2/(2lg5)]
=(1/2)(lg5/lg2)*(1/2)(lg2/log5)
=1/升绝4
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