SOLUTION: 24^3 = 2^p x 3^q, find the values of p and q

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 24^3 = 2^p x 3^q, find the values of p and q      Log On


   



Question 1111813: 24^3 = 2^p x 3^q, find the values of p and q
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
24%5E3=2%5Ep%2A3%5Eq
%282%5E3%2A3%29%5E3
2%5E9%2A3%5E3=2%5Ep%2A3%5Eq

Comparing corresponding parts,
system%28p=9%2Cand%2Cq=3%29