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 analytic solution by Paul)

I like your analyic methodology, and confirm having incorporated the same in my solution.

Edited on April 17, 2008, 12:43 pm

Posted by K Sengupta on 2008-04-17 12:38:29