### Use the definition of a logarithm to establish and apply the laws of logarithms (ACMNA265)

**LO: To know and use the definition of logarithms and apply the laws of logarithms.**

**Know:**

- What is a log number
- What are the laws of logarithm

**Understand:**

- that the laws of logarithms helps us to simplify scenarios

**Do:**

- I know and can apply the law of logarithms to solve related problems.

**Examples (Visual Representations)**

**Examples (Visual Representations)**

**Notes:**

**Notes:**

**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.

**Logarithm Laws**

**Logarithm Laws**

### 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.

**Logarithm Videos**

**Logarithm Videos**

**Logarithm Resources**

**Logarithm Resources**

**Practice Questions**

**Practice Questions**

# My Maths 10/10A

pg. 141 Exercise 3G Q. 1-7

pg. 147 Exercise 3H Q. 7-13, 16-18*