TASK 2 : LOGARITHMS [1.5hr]
TASK 2: LOGARITHMS [1.5hrs]
Step 1. Very basic introduction to logarithms (you can skip this video if you already know what logarithms are):
Step 2. Learn how to solve simple exponential equations by recognition method. First, try on your own to solve Worked examples 1.8 and 1.9 from the Mathematics B workbook - Chapter 1: Section 1.3.
If you have problems, watch this video (and attempt these Worked examples again):
Step 3. Now we are ready to introduce logarithms.
Watch the following videos
And go through Mathematics B workbook - Chapter 1: Section 1.3 and work through the remaining examples included therein (worked example 1.11 is interesting but you can skip it).
Step 4. Check your solutions by using Mathematics B workbook - Chapter 1 solutions, Section 1.3.
Step 5. You can find more information in [J. Olive Survival guide, Chapter 3, Section 3C(c,d)], or [Bostock,Chandler Core Maths, Chapters 2, 4 and 17, Ex 2E, 2F, 2G, Ex 4B, Ex 17B].
This page contains: 1.Video tutorial, 2.Text with a lot of extra examples and exercises with answers, 3.Diagnostic Test,4.Exercises
Rules for logs - more examples, more practice
A side-by-side table of the power laws and rules for logarithms.
Some more additional notes covering the background knowledge from basic definition of indices to exponential and logarithmic equation.
EXTRA EXERCISE: Try to match the rule from the table in the workbook with the rule given below in colour. Note some of the rules given in colour are a combination of two rules from the table.