Logarithms

Logarithms

Indroduction to Logarithms: In this tutorial you are shown what a log is and how to enter logs on a calculator.


Simplifying and Expanding Logs: In this tutorial you are shown some basic results for logs and also three rules on simplifying logs which are verified on a calculator.

Examples and Worked Solutions

Next, use the rules to do the following (try these first before looking at the worked solutions)

examples 1

View the tutorial and worked solutions to questions 1 - 4

Logarithms are used to solve equations where the unknown is a power. In the examples that follow I demonstrate this. Again you may like to try these before looking at the tutorial and worked solutions as part of your maths revision.

examples 2

View the tutorial and worked solutions to questions 5 and 6

This next set of equations have logs in the equation. You may want to try these first before looking at the tutorial.

examples 3

View the tutorial and worked solutions to questions 7-10

In this next example you are shown how to solve an equation that has logs in different bases by using the change of base formula.

example 4

View the tutorial and worked solution of 11

In the next few examples I look at quadratic equations in exponential functions. To solve these requires the use of logs.

examples 5

View the tutorial and worked solution of 12 and 13

You will find that you may be asked to solve an inequality where the unknown is a power.

example

View the tutorial and worked solution to 14 and 15