What you need to know about logs:
What you need to know about logs:
• [pic]
• The question “what is [pic]?” is the same as the question “to what power do you raise a, to get x?”
• a and b must both be positive numbers
• [pic] is written [pic]or just [pic]
• [pic] and [pic] are inverse functions of each other so [pic]
The Laws of logs
1. [pic]
2. [pic]
3. [pic]
4. [pic]
5. [pic]
Change of base formula
[pic]
Logarithms Questions
1. Without using a calculator work out the following
a) [pic]
b) [pic]
c) [pic]
d) [pic]
e) [pic]
f) [pic]
2. With the help of a calculator evaluate the following to 2 decimal places
a)[pic]
b)[pic]
c) [pic]
d)[pic]
3. Use the laws of logs to rewrite as a single term
a) [pic]
b) [pic]
c) [pic]
4. Express the following in terms of [pic] and [pic]:
a) [pic]
b) [pic]
c) [pic]
d) [pic]
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