✔ 最佳答案
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。