lgzrelv的部落格

標題:

If log3=a and log4=b, log1.5=?

發問:

• 是不是所有的英文字內都一定有a,e,i,o,u其中一個字-
• 班拿約o唔ok-@1@
• 想問下G.E.M既三圍@v@@1@

 

此文章來自奇摩知識+如有不便請留言告知

Given that log3=a and log4=b, express log 1.5 in terms of a and b.

最佳解答:

Since : log 4 = log (2^2) = 2log 2 = b , so log 2 = b/2 log1.5 = log(3/2) = log 3 - log 2 = a - b/2 =(2a - b) / 2

其他解答:

From the question, log 3=a............(1) log 4 = b log (2^2)=b 2log 2=b log 2=0.5b.........(2) log 1.5 =log (3/2) =log3-log2............(3) Substitute (1) and (2) into (3): log 1.5=a-0.5b