若33x+1=81,则x=_,若642×83×2x=42x,则x2=_,若x-3y=4,则2x÷8y=_.

问题描述:

若33x+1=81,则x=______,若642×83×2x=42x,则x2=______,若x-3y=4,则2x÷8y=______.

∵81=34
∴3x+1=4,
解得x=1;
∵642×83×2x=(262×(233×2x=212×29×2x=221+x
42x=[(222]x=24x
∴21+x=4x,
解得x=7,
∴x2=72=49;
2x÷8y=2x÷(23y=2x÷23y=2x-3y
∵x-3y=4,
∴2x÷8y=24=16.
故答案为:1;49;16.