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Find X, If ( 8 3 ) 2 X + 1 × ( 8 3 ) 5 = ( 8 3 ) X + 2 - Mathematics

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Question

Find x, if

\[\left( \frac{8}{3} \right)^{2x + 1} \times \left( \frac{8}{3} \right)^5 = \left( \frac{8}{3} \right)^{x + 2}\]
Sum

Solution

\[\left( \frac{8}{3} \right)^{2x + 1} \times \left( \frac{8}{3} \right)^5 = \left( \frac{8}{3} \right)^{x + 2}\]

\[\left( \frac{8}{3} \right)^{2x + 1} = \left( \frac{8}{3} \right)^{x + 2}\]

2x + 6 = x+2

x = -4

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Chapter 2: Powers - Exercise 2.2 [Page 19]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.2 | Q 12.6 | Page 19

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