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Find x. 23x = 82x + 1 - Mathematics

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Question

Find x.

23x = 82x + 1

Sum

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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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 177. (5) | Page 274

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