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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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