00:01
Okay, the first thing to know here is the basic shape of a log graph.
00:06
And this learn off by heart.
00:08
Here are the axes, x and y.
00:10
And if you have y equals log base a of x, where a is a number like 2, 3, 4, above 0, the graph always looks like this.
00:27
There's an asymptote on the y axis, and it increases very slowly and smoothly.
00:33
From left to right.
00:36
And it will always cut here at 1 because log base 2 of 1 is 0.
00:46
Then you have to know what a log is actually.
00:49
So if i have log base 2 of 8, for example, all that means is what power of 2 gives me 8? and the answer is of course 3, 2 cubed being 8.
01:03
And i can work out a few more of these.
01:07
Log base 2 of 4, what power of 2 gives me 4 and 2 squared.
01:17
That's why log base 2 of 1 is going to be 0 because we know that 2 power 0 makes 1...