Solve for X: (A3x + 5)2. (Ax)4 = A8x + 12

Solve for x : (a^{3x + 5})². (a^x)⁴ = a^{8x + 12}

Sum

(a^{3x + 5})². (a^x)⁴ = a^{8x + 12}

⇒ a^{6x + 10 + 4x =}a^{8x + 12}If bases are the same, powers are also same
⇒ 10x + 10 = 8x + 12
⇒ 2x = 2
⇒ x = 1

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Solving Exponential Equations

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Chapter 7: Indices [Exponents] - Exercise 7 (B) [Page 101]

Chapter 7 Indices [Exponents]
Exercise 7 (B) | Q 14.2 | Page 101

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