高一對數(shù)運算
高一對數(shù)運算
已知log83=p,log35=q,則lg5=?
已知log83=p,log35=q,則lg5=?
數(shù)學人氣:789 ℃時間:2020-03-14 03:07:55
優(yōu)質解答
log83=lg3/lg8=lg3-lg8=plog35=lg5/lg3=lg5-lg3=q兩式相加,得:lg3-lg8+lg5-lg3=p+q即:lg5-lg8=p+q8=1000÷125lg8=lg1000-lg125=3-3lg5代入lg5-lg8=p+qlg5-(3-3lg5)=p+q4lg5-3=p+qlg5=(p+q+3)/4
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