Logarithm rules
The rules of logarithms are
1. loga xy = loga x + loga y
2. loga = loga x – loga y
3. loga xn = nloga x
4. 
Example:
Evaluate 2 log3 5 + log3 40 – 3 log3 10
Solution:
2 log3 5 + log3 40 – 3 log3 10
= log3 52 + log3 40 – log3 103
= log3 25 + log3 40 – log3 1000
= log3 
= log3 1
= 0
Example:
Given that log2 3 = 1.585 and log2 5 = 2.322, evaluate log4 15
Solution:
Have a look at the following videos for more examples on the use of logarithm rules.:
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