WEBVTT

1
00:00:00.000 --> 00:00:03.715
Here is the problem: Evaluate log base e of 10.

2
00:00:04.165 --> 00:00:06.928
Evaluate the logarithm of 10 with base e.

3
00:00:07.728 --> 00:00:10.468
Ask: what power of the base gives the number?

4
00:00:10.918 --> 00:00:17.129
Evaluate the natural logarithm. ln(10) has no simpler exact form, so it is evaluated numerically.

5
00:00:17.929 --> 00:00:24.442
So the answer is ln(10) approximately 2.302585093.

6
00:00:24.892 --> 00:00:32.346
e raised to 2.302585093 gives 10 (to 10 significant digits).

7
00:00:33.146 --> 00:00:38.939
Check: e squared.302585093 approximately 10.
