Solve for x : 2^{3x + 3} = 2^{3x + 1} + 48

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ 2^{3x + 3} = 2^{3x + 1} + 48 ⇒ 2^3x.2³ = 2^3x.2¹ + 48 ⇒ 8.2^3x = 2.2^3x + 48 ⇒ 8.2^3x - 2.2^3x = 48 ⇒ 6.2^3x = 48 ⇒ 2^3x = ⇒ 2^3x = 8 ⇒ 2^3x = 2³ ⇒ 3x = 3 ⇒ x = = 1. Hence, x = 1.

Mathematics

Solve for x :
2^{3x + 3} = 2^{3x + 1} + 48

Indices

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