 Hello and welcome to the session. In this session we discuss the following question which says determine the value of x if log of x square minus 4 to the base 2 is equal to 5. We know that log of a number n to the base a is equal to x means that a to the power of x is equal to n. This is the key idea that we use for this question. Let's proceed with the solution now. We are given that log of x square minus 4 to the base 2 is equal to 5 and we need to find the value for x. Now since we have log of x square minus 4 to the base 2 is equal to 5 so using the key idea we get that 2 to the power 5 is equal to x square minus 4. Now you can say that x square is equal to 2 to the power 5 plus 4 that is x square is equal to now 2 to the power 5 is 32 plus 4. Thus we get x square is equal to 36. This means we have x equal to plus minus square root of 36 or you can say that x is equal to plus minus 6. Therefore we get the value of x as 6 and minus 6. So this is our final answer. This completes the session. Hope you have understood the solution of this question.