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Maths Question?
Given s=log[b] (y), express in terms of s, (log[b]by^2) + (log[b](sqrt(y)))+(log[b]((by)^2)))
ie. gives s=log base b of by squared, express in terms of s, 4log base b of (by) squared plus log base b of square root of y + log base b of (by) to be squared.
This was a question on my maths test, and I got it wrong, but I wanted to see where I went wrong, so if you can, please help! Tks!
1 Answer
- MechEng2030Lv 76 years agoFavorite Answer
From log properties, we get:
(log[b]by^2) + (log[b](sqrt(y)))+(log[b]((by)^2)))
log[b] b + 2*log[b] y + 1/2*log[b] y + log[b] b^2 + 2*log[b] y
= 1 + 2s + s/2 + 2 + 2s
= 3 + 9s/2
