部落格

標題:

F.4 maths

發問:

Without using a calculator, find the values of the following expressions. 1. log√8 + log√1252. log√0.1 +log 0.013. 1/2 log135 + log50 –3/2log15 更新: TYPED WRONG, I feel so sorry, it is the corret question : log√0.1 - log 0.01

最佳解答:

1. log√8 + log√125 = 0.5 (log 8 + log 125) = 0.5 log 1000 = 1.5 2. log√0.1 + log 0.01 = 0.5 log 0.1 + log 0.01 = -0.5 - 2 = -2.5 3. (1/2) log 135 + log 50 – (3/2) log 15 = (1/2) (log 135 + log 2500 - log 3375) = (1/2) log(135*2500/3375) = (1/2) log 100 = 1 2014-05-09 17:37:33 補充： 2. log√0.1 - log 0.01 = 0.5 log 0.1 - log 0.01 = -0.5 + 2 = 1.5

• 簡單的計算方法 (11×......)@1@
• 11月22日究竟係天蠍定人馬座呀------
• 綠寶石(GBA)
• 陳慧琳Love Fighters演唱會08 幾時開始賣票@1@
• 09 會考的問題,,有經驗的會考生請進,謝謝@1@

• 簡單的計算方法 (11×......)@1@
• 11月22日究竟係天蠍定人馬座呀------
• 綠寶石(GBA)
• 陳慧琳Love Fighters演唱會08 幾時開始賣票@1@
• 09 會考的問題,,有經驗的會考生請進,謝謝@1@

 

此文章來自奇摩知識+如有不便請留言告知

其他解答:

2. log √0.1 - log 0.01 = (1/2) log 10?1 - log 10?2 = (1/2) (-1) log 10 - (-2) log 10 = -(1/2) + 2 = 3/2 = 1.5|||||1. log√8 + log√125 =log√8x125 =log√1000 =log10^1.5 = 1.52. log√0.1 +log 0.01 =log10^-1/2+log10^-2 =log10^-1/2x10^-2 =log10^-2.5 =-2.53. 1/2 log135 + log50 –3/2log15=log135^0.5 + log50+log15^-1,5 =log(135^0.5x50x15^-1,5) =log(10) =1