 Hello and welcome to the session. In this session we discussed the following question which says simplify log 2 square plus log 5 square. Before we move on to the solution let's discuss one property of logarithm or one law of logarithm in which we have log of the product of two positive numbers to the base A is equal to the sum of the logarithms to the same base that is this would be equal to log of m to the base A plus log of n to the base A and this base A is any real base greater than 1. So this is the key idea that we use in this question. Let's proceed with the solution now. We need to simplify the expression log of 2 square plus log of 5 square. So this is equal to log 4 since 2 square is 4 plus log 25 since 5 square is 25. Now using this key idea we get that log 4 plus log 25 would be equal to log of 4 multiplied by 25 that is this is equal to log of 100. Now we know that log of 100 to the base 10 now since the base is not indicated this means that the base is 10 is equal to 2 therefore log of 100 is equal to 2. Thus we can say the given expression log of 2 square plus log of 5 square is equal to 2. This is our final answer. This completes the session hope you have understood the solution of this question.