Examples (Visual Representations)
What are logarithms?
Logarithms are essentially the opposite to exponents or indices. It answers the question of how much of a certain number do we need to multiply in order to get another number?
When working with numbers, we have a base (original number), we have an exponent or indices (little number) and then we have an answer.
In this example, we have a base of 5 and exponent of 3 and an answer of 125. Which mean it takes three – 5s multiplied by each other in order to get to 125.
When working with Logs you are essentially rearranging the order where the numbers are located.
We have some established logarithm laws. They are very similar to the index laws that we’ve learnt previously.
When we add logarithms with the same base we can simplify it into m x n.
When we subtract logarithms with the same base we can simplify it into m / n.
My Maths 10/10A
pg. 141 Exercise 3G Q. 1-7
pg. 147 Exercise 3H Q. 7-13, 16-18*