已知log8 3=a,log3 5=b,求lg 5
人气:216 ℃ 时间:2020-09-13 20:22:33
解答
log8 3=a ==> 8^a=3
log3 5=b ==> 3^b=5
8^(ab)=5
2^(3ab)=5
∴log2 5=3ab
2^(3ab +1)=10
所以log2 10=3ab +1
∵lg 5= log10 5=(log2 5)/(log2 10)=3ab/(3ab+1)
推荐
- 已知log8^3=a,log3^5=b,用a,b表示lg5
- (1)已知lg 2=a,lg 3=b,试用a,b表示log12 5 (2)已知log2 3=a,log3 7=b试用a,b表示log14 56
- 已知log8 9=m,log3 5=n,求log5 12
- 若log3 2=a,log3 5=b,则log3 40=?若lg2=a,则lg5=?lg8=?lg25=?lg0.2=?
- 设log8^3=p,log3^5=q.则lg5?
- 应当称“地球”为“水球”,因为从哪个方向看地球,海洋面积都大于陆地面积?
- Her often being late makes me angry.可以说成 Her being often late makes me angry.为什么呢
- 在锐角△ABC中,已知cosA=45,sinB=1213.则cosC的值是( ) A.6365 B.−6365 C.1665 D.-1665
猜你喜欢