2*Y + 0.5* Log Y = K 急急

2010-06-29 8:09 am
這是一個中學時應該會的方程式,但現在用到卻解不出.求各位大大幫忙,係好急ge,唔該先!
2*Y + 0.5* Log Y = K (K為常數, Y為未知數)
Y=?

回答 (5)

2010-06-29 4:30 pm
✔ 最佳答案
1. Assumed you mean to eliminate the log sign.
0.5logY = K - 2Y
log Y = 2(K- 2Y)
so Y = 10 ^(2K - 4Y) or
Y = e^(2K - 4Y) for natural log.
2. You really mean to find Y given the value of K, this can be done by graphical method. The equation is equivalent to log x = 2K - 4x, draw the graph y = log x and the graph y = 4K - 4x, the intersecting point of these 2 graph will be the solution to the equation.
2010-06-29 8:05 pm
ln Y和log Y是不同的~~~~
2010-06-29 6:02 pm
your equation is impossible to solve algebrally, but possible by the method as
suggested by "wy".
Simon Yau
2010-06-29 9:25 am
2個未知數(Y同K), 1條方程有可能求到 ?
2010-06-29 8:30 am
2Y+0.5lnY=K???

2010-06-29 13:09:16 補充:
In advanced mathematics, "log" means "natural log".


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