SOLUTION: Solve the equation 〖12〗^x*〖24〗^y=216

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Question 1195384: Solve the equation 〖12〗^x*〖24〗^y=216
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
12%5Ex%2A24%5Ey%22%22=%22%22216

%282%5E2%2A3%29%5Ex%2A%282%5E3%2A3%29%5Ey%22%22=%22%222%5E3%2A3%5E3

2%5E%282x%29%2A3%5Ex%2A2%5E%283y%29%2A3%5Ey%22%22=%22%222%5E3%2A3%5E3

Equate exponents of 2

2x%2B3y%22%22=%22%223

Equate exponents of 3

x%2By%22%22=%22%223

Solve system:

system%282x%2B3y=3%2Cx%2By=3%29

You finish.

Edwin

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

I solved this problem at this forum in full couple of weeks ago.  See the link

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1195199.html

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1195199.html