 Hello and welcome to the session. I am Deepika here. Let's discuss a question which says proof that the logarithmic function is strictly increasing on an open interval 0 to infinity. Let's start the solution. Now we know that if function is strictly increasing on an open interval here its derivative is positive and for this question we will show that the derivative of the logarithmic function is positive in an open interval 0 to infinity. So given fx is equal to log x, we know that x is defined for x greater than 0. So we will prove that fx is an increasing function for x greater than 0. Now f dash x is equal to 1 by x. So if x is greater than 0 then f dash x which is equal to 1 by x is also greater than 0. This implies increasing on an open interval 0 to infinity. Hence proved I hope the solution is clear to you. Bye and take care.