00:01
So we're just going to be solving for these logarithmic equations or functions.
00:09
So the first one, we're going to simplify that just so it's easier to look at.
00:19
So we're just going to simply out with this in a different color.
00:29
So we're just going to simplify that.
00:32
So we know 100 is 10 squared.
00:34
And we can just put that in parentheses to the log base 10 of 3.
01:04
So because of the power properties of the logarithms, we can simplify this into 2 -log -base -10 -3, which then can be also interpreted as log base 103 squared, which is equal to 100.
02:05
And since we have that 3 squared, we can just, these will cancel out.
02:14
So then what we have is the 100, 100, 100, log 10, 3, 3.
02:28
Is equal to 9 because that's what 3 squared is.
02:37
So that is going to be your answer for a.
02:44
For b, we're going to solve for log base 10.
02:57
0 .013...