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12 
Logarithms
What are logarithms? Who was 'John  the man  Napier'?

Theta pg 34 & 35 NuLake EAS Q173  194 
13 
Log Rules
Comparing the log rules to index manipulations

Ex9.02 Theta pg 36 & 37 NuLake EAS Q195  218 
14 
Index Equations
Solving index equations using logs eg. 3^{x} = 17 Activity 
Ex9.03, Ex9.04 Theta pg 38 & 39 & 40 NuLake EAS Q219  233 
Log_{2}64=6 
"What is the power on 2 which
gives 64? 


Index form 
Logs 'get at' the powers 
Log
form 
"log of q
to the base b is
p" 
1)
First example
Solution 2) 2nd example Solution 3) 3rd example Solution Mouse over key words 
Multiplying algebra terms means ADD
the powers. 1) When we multiply numbers we ADD the logs. 
Dividing
algebra terms means SUBTRACT the powers. 2) When we divide numbers we Subtract the logs. 
A power on a power means we MULTIPLY
the powers. 3) When we raise a numbers by a power we MULTIPLY the log by that power. 
1)
Take the Logs of both sides
2) Use 3rd Log rule 3) Solve Mouse over key words 