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Find 2^x if
2^x + 3^y = 13
2^(x + 2) + 3^(y + 1) = 43

 Dec 29, 2021
 #1
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just eyeballing it I know that 4 + 9 = 13 so lets assume x = y = 2. Now to solve the second equation to see if my hunch is right

 

2^(2+2) + 3^(2+1) = 43

2^4 + 3^3 = 43

16 + 27 = 43

43 = 43

 

turns out  was right lol so 2^x = 2^2 = 4

 

Answer: 4

 Dec 29, 2021

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