lg8+lg125-lg2-lg5/log以5为底4的对数*log以2为底5的对数,+5*log以5为底2的对数+16ˆ3/4= 3lg2+3lg5-lg2-lg5/2*log以5为底2的对数*log以2为底5的对数+2+(2ˆ4)ˆ3/4 =3-1/2+2+8=11 2是怎样算出来的?

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lg8+lg125-lg2-lg5/log以5为底4的对数*log以2为底5的对数,+5*log以5为底2的对数+16ˆ3/4= 3lg2+3lg5-lg2-lg5/2*log以5为底2的对数*log以2为底5的对数+2+(2ˆ4)ˆ3/4 =3-1/2+2+8=11 2是怎样算出来的?
lg8+lg125-lg2-lg5/log以5为底4的对数*log以2为底5的对数,+5*log以5为底2的对数+16ˆ3/4
= 3lg2+3lg5-lg2-lg5/2*log以5为底2的对数*log以2为底5的对数+2+(2ˆ4)ˆ3/4 =3-1/2+2+8=11 2是怎样算出来的?

lg8+lg125-lg2-lg5/log以5为底4的对数*log以2为底5的对数,+5*log以5为底2的对数+16ˆ3/4= 3lg2+3lg5-lg2-lg5/2*log以5为底2的对数*log以2为底5的对数+2+(2ˆ4)ˆ3/4 =3-1/2+2+8=11 2是怎样算出来的?
5^log(5)2=2
log(5)2*log(2)5=1
(lg8+lg125-lg2-lg5)/[log(5)4*log(2)5]+5^log(5)2+16ˆ(3/4)
=﹙3lg2+3lg5-lg2-lg5﹚/[2log(5)2*log(2)5]+5^log(5)2+(2ˆ4)ˆ﹙3/4 ﹚ =﹙3-1﹚/2+2+8=11