唔識做功課48

1. (log x^3 + 3log √y) ÷ (4log(xy) - log y^2)

= (log x^3 + log y ^3/2 ) ÷ (log (xy)^4 - log y^2)

= (log x^3 * y ^3/2) ÷ (log x^4* y^2)

= log ( x^6/2 * y^3/2) ÷ log ( x^2* y)^2

= log (x^2 *y)^3/2 ÷ log (x^2 *y)^2

= 3/2 log (x^2 *y) ÷ 2 log(x^2 *y)

= 3/2 ÷2

= 3/4 (Answer)

2. If 1/2 log y = 1+ log x, express y in terms of x.

1/2 log y = 1+ log x
1/2 log y = log 10+ log x
log y^1/2 = log (10*x)
y^1/2 = (10*x)
( y^1/2)^2 = (10*x)^2
∴y = 100 x^2 (Answer)

2015-02-17 00:31:06 補充：
希望幫到妳，相信我給妳的答案是正確。

很有禮貌。

敬祝各位新年進步！

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thank you so much