已知lgab=5,lga乘lgb=6,则a=__.b=__
问题描述:
已知lgab=5,lga乘lgb=6,则a=__.b=__
答
lgab=5则 lga+lgb=5 与lga×lgb=6 联立方程组,解得 lga=2,lgb=3;或者lga=3,lgb=2
lga=2,lgb=3时,a=100,b=1000
lga=3,lgb=2时,a=1000,b=100