(2lg5/lg2)*(2lg2/lg3)*(2lg3/lg5)求解,谢谢!我约分完后是lg5*lg2*lg3,可是别人说等于8,请教是哪里算错了?谢谢!

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(2lg5/lg2)*(2lg2/lg3)*(2lg3/lg5)求解,谢谢!我约分完后是lg5*lg2*lg3,可是别人说等于8,请教是哪里算错了?谢谢!
(2lg5/lg2)*(2lg2/lg3)*(2lg3/lg5)求解,谢谢!
我约分完后是lg5*lg2*lg3,可是别人说等于8,请教是哪里算错了?谢谢!

(2lg5/lg2)*(2lg2/lg3)*(2lg3/lg5)求解,谢谢!我约分完后是lg5*lg2*lg3,可是别人说等于8,请教是哪里算错了?谢谢!
答:
(2lg5/lg2)*(2lg2/lg3)*(2lg3/lg5)
=2*2*2*(lg5)*(lg2)*(lg3)/[(lg2)*(lg3)*(lg5)]
=8
分子放在一起,分母放在一起就不容易错了