Question

If x is a positive quantity such that 2x = 3log5 2 , then x is equal to

Answer 1

Answer:

2x = 3log5 2

⇒ 2x = 2log5 3

⇒ x = log5 3

⇒ x = log5 (3×5)/5

⇒ x = log5 5 + log5 3/5

⇒ x = 1 + log5 3/5