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Solve for X : 34x + 1 = (27)X + 1 - Mathematics

Sum

Solve for x :  34x + 1 = (27)x + 1

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Solution

34x + 1 = (27)x + 1
⇒ 34x + 1 = (33)x + 1
⇒ 34x + 1 = 33x + 1
We know that if bases are equal, the powers are equal
⇒ 4x + 1 = 3x + 3
⇒ 4x - 3x = 3 - 1
⇒ x = 2.

Concept: Solving Exponential Equations
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (B) | Q 1.3 | Page 100
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