Solve for x: 9 × 3x = (27)2x - 5

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ 9 × 3x = (27)2x - 5 ⇒ 32 × 3x = (33)(2x - 5) ⇒ 3(x + 2) = 3(6x - 15) Equating the exponents, ⇒ x + 2 = 6x - 15 ⇒ 6x - x = 15 + 2 ⇒ 5x = 17 ⇒ x = . Hence, x = .

Mathematics

Solve for x:
9 × 3^x = (27)^{2x - 5}

Indices

Related Questions

Solve for x:
2^{(5x - 1)} = 4 × 2^{(3x + 1)}

Solve for x:
5^{(x - 3)} × 3^{(2x - 8)} = 225

Mathematics

Solve for x:9 × 3x = (27)2x - 5

Indices

Related Questions

Solve for x:2(5x - 1) = 4 × 2(3x + 1)

Solve for x:5(x - 3) × 3(2x - 8) = 225

Solve for x:
9 × 3^x = (27)^{2x - 5}

Solve for x:
2^{(5x - 1)} = 4 × 2^{(3x + 1)}

Solve for x:
5^{(x - 3)} × 3^{(2x - 8)} = 225