Question

2 la puterea 1ori 2 la puterea 2ori 2 la puterea 3 ori...... 2 la puterea 50=cu 2 la puterea x
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Answer 1

 

$\displaystyle\bf\\2^1\times2^2\times2^3\times...\times2^{50}=2^x\\\\2^{1+2+3+...+50}=2^x\\\\\implies x=1+2+3+...+50\\\\x=\frac{50(50+1)}{2}\\\\x=25\times51\\\\\boxed{\bf x=1275}$