 Hello and welcome to the session. In this session we discussed the equation that says find the log of 64 to the base 2 root 2. We know that log of the number n to the base a equal to x means that a to the power x is equal to m. This is the key idea that we use for this question. Let's proceed with the solution now. We are supposed to find log of 64 to the base 2 root 2. Now we suppose that log of 64 to the base 2 root 2 be equal to x. So from the key idea we have that this means 2 root 2 whole to the power of x is equal to 64. Now we factor in 64 and write it in terms of 2 root 2. Now 2 is whole to the power of 4 where 2 to the power x is equal to 2 root 2 whole to the power x is equal to 4. And we have assumed x to be log of 64 to the base 2 root 2. Therefore we have log of 64 to the base 2 root 2 is equal to 4. Answer. Let's complete this session.