Suppose log 2= a, log 3=b, log 7=c. Express the following numbers in terms of a, b, c.
1.) log 375
2.) log(sin(π/3))
F.4 Maths (log)
2010-08-10 8:52 pm
回答 (1)
2010-08-10 9:03 pm
✔ 最佳答案
1)log 375= log (3 x 5^3)= log 3 + log 5^3= log 3 + 3 log 5= log 3 + 3 log(10/2)= log 3 + 3 (log 10 - log 2)= log 3 + 3(1 - log 2)= b + 3(1 - a)= b - 3a + 32)log(sin(π/3))= log [(3^0.5)/2]= log 3^0.5 - log 2= 0.5 log 3 - log 2= 0.5b - a= b/2 - a
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