A system of equations
Given such that and , evaluate .
This problem is posed by Minimario M.
The answer is 35.
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1 solution
Hey yo,
Given , 9^x - 4^x = 665, 3^x - 2^x = 19,
3^x = 19 + 2^x (1st)
3^2x - 2^2x = 665(2nd)
substitute (1st) into (2nd), you will get,
2^x = 8 , 3^x = 19 + 8 =27
therefore, 2^x + 3^x = 8 + 27 = 35....
thanks...