Question

一道高一数学题

若2的6a次方=3的3b次方=6的2c次方，求证：3ab－2ac=bc.

Answer 1

lg一下行不行啊...
6alg2=3blg3=2clg6
又因为lg2+lg3=lg6
lg2+6a/3b*lg2=6a/2c*lg2
1+6a/3b=6a/2c
bc+2ac=3ab
证毕

Answer 2

2^(6a)=3^(3b)=6^(2c)
lg2^(6a)=lg3^(3b)=lg6^(2c)
6alg2=3blg3=2clg6=M
3ab-2ac-bc=3M/(6lg2)*M/(3lg3)-2....=0
得证