f4 index question2

b^2/3 = a
(b^2/3)^3/2 = a^3/2
b = a^3/2

(ax)^1/2 = b
(ax)^1/2 = a^3/2
log[(ax)^1/2] = log(a^3/2)
1/2log(ax) = 3/2loga
1/2(loga + logx) = 3/2loga
1/2logx = loga
logx = 2loga
logx = log(a^2)
x = a^2

2008-01-23 20:26:23 補充：
其實有個重簡單既方法-.-b^2/3 = a(b^2/3)^3/2 = a^3/2b = a^3/2(ax)^1/2 = b(ax)^1/2 = a^3/2x^1/2 = a^3/2/a^1/2x^1/2 = ax = a^2

(ax)1/2 = b
ax = b2 ... (1)
b2/3 = a
(b2 )1/3 = a
b2 = a3 ... (2)
Substitute (2) into (1),
ax = a3
x = a2