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2³¹ + 2³⁰ + 2²⁹ = x · 2²⁸ x=?

2³¹ + 2³⁰ + 2²⁹ = x · 2²⁸ x=?
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2 votes
2³¹ + 2³⁰ + 2²⁹ = x · 2²⁸
x=?

User Hau
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2 Answers

7 votes

2^(31)+2^(30)+2^(29)=\\ 2^(28)(2^3+2^2+2)=\\ 2^(28)(8+4+2)=\\ 2^(28)\cdot14\\\\ x=14
User Rodniko
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8.7k points
1 vote

2^(31)+ 2^(30)+2^(29)=x*2^(28) \\\\ 2^(28)(2^3+2^2+2)=x*2^(28) \\\\ 2^3+2^2+2=x \\\\ x=8+4+2 \\\\ \boxed{x=14}
User Carly
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7.7k points
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