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Question
Find x.
23x = 82x + 1
Sum
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Solution
We have, 23x = 82x + 1
⇒ 23x = (23)2x + 1
⇒ 23x = (2)6x + 3 ...[∵ (am)n = (a)m × n]
On comparing the power of 2, we get
3x = 6x + 3
⇒ –3 = 3x
⇒ x = –1
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Chapter 8: Exponents and Powers - Exercise [Page 274]
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