Simplify the expression and solve for \( x \):

\[2^{31} + 2^{30} + 2^{29} = x \cdot 2^{28}\]

\[x = ?\]

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 x = 14 ​

Answered by mariamikayla | 2024-06-10

2 31 + 2 30 + 2 29 = 2 28 ( 2 3 + 2 2 + 2 ) = 2 28 ( 8 + 4 + 2 ) = 2 28 ⋅ 14 x = 14

Answered by konrad509 | 2024-06-10

To simplify the expression 2 31 + 2 30 + 2 29 = x ⋅ 2 28 , we factor it and simplify, eventually leading to the solution x = 14 . This is done by factoring out the smallest power and performing basic arithmetic. The final answer is x = 14 .
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Answered by mariamikayla | 2024-10-01