If log 4=m, express log 125 in terms of m.?
i do not understand why the answer is 3 - 3m/2
Maths help, thanks?
2017-03-10 11:54 am
回答 (3)
2017-03-10 12:09 pm
✔ 最佳答案
125 = 1000 / 8 = 10³ / 4^(3/2)
2017-03-10 12:05 pm
m = log(4) = 2 log(2)
log(2) = m/2
125 = 1000/8 = 10³/2³
log(125) = log(1000)-3 log(2)
= 3-3m/2
log(2) = m/2
125 = 1000/8 = 10³/2³
log(125) = log(1000)-3 log(2)
= 3-3m/2
收錄日期: 2021-04-20 19:42:59
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