换底公式可得log3=alog2,log7=blog3,因此log7=ablog2.对log42 56也运用换底公式可得log42 56=log56/log42=log(2×2×2×7)/log(2×3×7)＝（3log2＋log7）/（log2＋log3＋log7）＝（3log2＋ablog2）/(log2+alog2+abl...