Question

27^x+1 = 9^x+3
please help me

Answer 1

Given

• 27ˣ ⁺ ¹ = 9ˣ ⁺ ³

To find

• x

Solution

• 27ˣ ⁺ ¹ = 9ˣ ⁺ ³
• (3³)ˣ ⁺ ¹ = (3²)ˣ ⁺ ³
• 3³ˣ ⁺ ³ = 3²ˣ ⁺ ³
• 3(x + 1) = 2(x + 3)
• 3x + 1 = 2x + 6
• 3x - 2x = 6 - 3
• x = 3

☯ ∴ Value of x is 3

Answer 2

27ˣ ⁺ ¹ = 9ˣ ⁺ ³

(3³)ˣ ⁺ ¹ = (3²)ˣ ⁺ ³

3³ˣ ⁺ ³ = 3²ˣ ⁺ ³

3(x + 1) = 2(x + 3)

3x + 1 = 2x + 6

3x - 2x = 6 - 3

x = 3