SOLUTION: If {{{2^x=2(16^12)+2(8^16)}}}, what is the value of {{{x}}}?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If {{{2^x=2(16^12)+2(8^16)}}}, what is the value of {{{x}}}?      Log On


   

Question 1114456: If 2%5Ex=2%2816%5E12%29%2B2%288%5E16%29, what is the value of x?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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The right side is 


2%2A%2816%5E12%29 + 2%2A%288%5E16%29 = 2%2A2%5E%284%2A12%29 + 2%2A2%5E%283%2A16%29 = 2%2A2%5E48 + 2%2A2%5E48 = 2%5E49 + 2%5E49 = 2%5E50.


Therefore, your equation is


2%5Ex = 2%5E50,


and it has the solution x= 50.

Solved.