標題:

唔識做功課48

發問:

Simplify the expression 1. (log x^3 + 3log √y) ÷ (4log(xy) - log y^2) 2. If 1/2 log y = 1+ log x, express y in terms of x.

最佳解答:

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。

其他解答:

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