Determine all possible positive real pair(s) (A, B) that satisfy the following system of simultaneous equations:

(3A)^{log 3} = (8B)^{log 2}, and:

2^{log A} = 3^{log B} * 4^{log 3}

Note: For the purposes of the problem, the base of the logarithm is a positive real number > 1.

(In reply to solution by Charlie)

BTW, one curve is concave up and the other concave down, when plotted that way, so there are no other solutions.

Posted by Charlie on 2008-04-04 13:25:50