Logarithms
What is a Logarithm?
Video
This video from Khan Academy gives a nice explanation of what a logarithm is by comparing expressions involving logarithms to those involving indices.
Note: All Khan Academy content is available for free at www.khanacademy.org.
Notes
These notes from MathCentre give the definition of a logarithm. They also have exercises with answers included for you to get practice working with logarithms.
A pdf of this document can be downloaded here.
Interactive Exercises
This NUMBAS exercise lets you test your understanding of the definition of a logarithm.
Please click here to view this NUMBAS question in another window.
The Laws of Logarithms
Video
This video from Khan Academy shows how to simplify the logarithm of a product of terms.
Note: All Khan Academy content is available for free at www.khanacademy.org.
This video from Khan Academy shows how to simplify a term involving the logarithm of a power.
Note: All Khan Academy content is available for free at www.khanacademy.org.
Notes
These notes from MathCentre list the various properties of logarithms and show how they can be used to simplify expressions. There are also exercises included with answers for you to use for practice.
A pdf of this document can be downloaded here.
Interactive Exercises
Changing the Base of a Logarithm
Videos
This video from patrickJMT shows how to use the change of base formula to compute the value of a logarithm.
Note: All patrickJMT content is available for free at www.youtube.com/user/patrickJMT.
Patrick JMT’s Website: www.patrickjmt.com.
Notes
These notes from MathCentre gives the change of base law for logarithms, which allows you to write a logarithm in one base in terms of a logarithm of another base. There are also exercises with answers included for you to practise with.
A pdf of this document can be downloaded here.
Interactive Exercises
Use this NUMBAS exercise to practise rewriting logarithms in terms of another base.
Please click here to view this NUMBAS question in another window.
