Question

3^4x+1=(1/9)^x+1 find x

Answer 1

SOLUTION

34x + 1 = (27)x + 1

⇒ 34x + 1 = (33)x + 1

⇒ 34x + 1 = 33x + 1

We know that if bases are equal, the powers are equal

⇒ 4x + 1 = 3x + 3

⇒ 4x - 3x = 3 - 1

⇒ x = 2.