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Solve for X : 22x+1 = 8 - Mathematics

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Question

Solve for x : 22x+1 = 8

Sum

Solution

22x+1 = 8
⇒ 22x+1 = 23
We know that if bases are equal, the powers are equal
⇒ 2x + 1 = 3
⇒ 2x = 3 - 1
⇒ 2x = 2
⇒ x = `2/2`
⇒ x = 1

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Solving Exponential Equations
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Chapter 7: Indices (Exponents) - Exercise 7 (B) [Page 100]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (B) | Q 1.1 | Page 100
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