5. Indices, Exponential and Logarithmic Functions and Equations
24Singapore GCE O Level Additional Mathematics 4049
Merry Christmas, happy holidays. This video is part of a crash-course playlist for AMath for my students -- please ensure you have the relevant worksheets/notes on hand to refer to or to write on! PAUSE OR SPEED UP THE VIDEO AS PER YOUR NEEDS.
Due to the livestreaming format of the video, I might sporadically interact with live viewers.
Timestamps:
0:00 - Stream start
4:22 - Laws of indices
5:28 - Exponential functions
9:05 - Graphs of exponential functions
15:58 - Exponential graph exercises 1
19:06 - Exponential equations and models 1
23:00 - Break 1
25:16 - Exponential graph exercises 2
31:39 - Exponential equations and models 2 (worked example, limits)
35:01 - "very large", worked example continues
42:38 - Break 2
47:38 - Logarithms, as the opposite of exponentiation
55:29 - Laws of logarithms, change-of-base rule
1:06:36 - Logarithmic equations, worked examples
1:22:08 - Break 3
1:26:44 - Graphs of logarithmic functions
1:49:46 - Logarithmic models
1:56:56 - fumo fumo Patchouli. (Break 4)
2:02:27 - Extra worked problems
2:46:41 - LESSON END, chill time
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