Solve the following equation: log(2x + 3) = log 7

Given, ⇒ log(2x + 3) = log 7 ⇒ 2x + 3 = 7 ⇒ 2x = 4 ⇒ x = 2. Hence, x = 2.

Prove the following:
3^{log 4} = 4^{log 3}