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=______.
答
∵81=34,
∴3x+1=4,
解得x=1;
∵642×83×2x=(26)2×(23)3×2x=212×29×2x=221+x,
42x=[(22)2]x=24x,
∴21+x=4x,
解得x=7,
∴x2=72=49;
2x÷8y=2x÷(23)y=2x÷23y=2x-3y,
∵x-3y=4,
∴2x÷8y=24=16.
故答案为:1;49;16.