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Find x. 2x + 2x + 2x = 192 - Mathematics

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Question

Find x.

2x + 2x + 2x = 192

Sum
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Solution

We have, 2x + 2x + 2x = 192

⇒ 2x(1 + 1 + 1) = 192

⇒ 3 × (2x) = 192

⇒ `2^x = 192/3 = 64`

⇒ 2x = 2 × 2 × 2 × 2 × 2 × 2

⇒ 2x = 26

On comparing the power of 2, we get

x = 6

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Chapter 8: Exponents and Powers - Exercise [Page 274]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 177. (3) | Page 274

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