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

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ (a^{3x + 5})².(a^x)⁴ = a^{8x + 12} ⇒ a^{2(3x + 5)}.a^4x = a^{8x + 12} ⇒ a^{6x + 10}.a^4x = a^{8x + 12} ⇒ a^{6x + 10 + 4x} = a^{8x + 12} ⇒ a^{10x + 10} = a^{8x + 12} ⇒ 10x + 10 = 8x + 12 ⇒ 10x - 8x = 12 - 10 ⇒ 2x = 2 ⇒ x = = 1. Hence, x = 1.

Mathematics

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

Indices

Related Questions

If 4^{x + 3} = 112 + 8 × 4^x; find (18x)^3x.

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

Mathematics

Solve for x :(a3x + 5)2.(ax)4 = a8x + 12

Indices

Related Questions

If 4x + 3 = 112 + 8 × 4x; find (18x)3x.

Solve for x :23x + 3 = 23x + 1 + 48

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

If 4^{x + 3} = 112 + 8 × 4^x; find (18x)^3x.

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