F.4 MATHS

2011-09-17 10:49 pm
suppose log 5=a , log 27=b.
Express log 6 in term of a and b.

回答 (1)

2011-09-17 10:56 pm
✔ 最佳答案
log 5 = a==> log (10/2) = a
==> log10 - log2 = a
==> 1 - log2 = a
==> log2 = 1 - a;
log 27 = b==> log 3³ = b
==> 3 log3 = b
==> log 3 = b / 3
Solog 6
= log (2 x 3)
= log 2 + log 3

= 1 - a + b / 3 = (3 - 3a + b) / 3


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