Question

Does inequality sign changes when we camcel log both sides

Answer 1

We cannot cancel log on both sides if there is inequality sign between the two

Answer 2

However, when you divide by , youare dividing by a negative number, thus the sign flips. The same reasoning applies to log. Whenyou take log on a number lesser than 1, you will end up with a negative number. Since thenumber changes from positive tonegative, the sign changes fromto