00:01
Here, for the a part, we need to define log base 2, 64.
00:10
So here, first of all, we'll factorize 64 here, then what we're getting, we'll divide with the smallest number 2, and we'll be getting here 32.
00:21
Then again, we'll divide with 32, then we'll be getting a 16, then 2, 8, 4, 2, 2, 4, and 2, 1, 2.
00:34
So here we can see that we got 2 to the power 6, our factor of 64, we got to the power 6.
00:43
So we can write here, log base 2, 64, 2 to the power 6.
00:49
And we know that, that log base e, a to the power n can be written as n log a to the base e.
01:06
This is our rule of logarithm.
01:10
So here we'll be getting 6 log, the power will become here on the left side of log, 6 log base 2, that will be here equal to, we know that log base 2, 2 will be here 1, so 6 into 1 will be getting here 6.
01:35
So here, we'll be getting our answer as 6.
01:40
Now we'll do our b part.
01:43
In the b part, we need to evaluate here, log, log base 2, 128.
01:54
So again, we'll factorize 128.
01:57
On factorizing 128, we'll be getting here 2, 6, we'll divide 128 by 2, then we'll get 64...