3^a=4^b=6^c
alg3=blg4=clg6
3a/4b=3*blg4/log3/4b
=3/4*lg4/lg3
=3*lg4/(4*lg3)
=lg64/log81<1
3a<4b
4b/6c=4*c*lg6/lg4/6c
=4/6*lg6/lg4
=2/3*lg6/lg4
=2*lg6/(3*lg4)
=lg36/lg64<1
4b<6c
所以3a<4b<6c
3^a=4^b=6^c
alg3=blg4=clg6
3a/4b=3*blg4/log3/4b
=3/4*lg4/lg3
=3*lg4/(4*lg3)
=lg64/log81<1
3a<4b
4b/6c=4*c*lg6/lg4/6c
=4/6*lg6/lg4
=2/3*lg6/lg4
=2*lg6/(3*lg4)
=lg36/lg64<1
4b<6c
所以3a<4b<6c