Expanding a logarithmic expression raised to the third power

The video tutorial explains how to expand a logarithmic expression by using properties of logarithms. It begins with identifying the exponent and moving it in front of the logarithm. The tutorial then demonstrates applying logarithmic properties, such as handling division and square roots, to simplify the expression. The process is completed by working from left to right, ensuring the correct order of operations. The tutorial concludes with a summary of the steps involved in expanding logarithmic expressions.

What is the first step in expanding a logarithmic expression with an exponent?

• Multiply the expression by 3

• Add the exponent to the base

• Move the exponent to the front

• Divide the expression by 5

When applying logarithmic properties, how should division within the expression be handled?

• By subtracting the logarithms

• By multiplying the logarithms

• By adding the logarithms

• By dividing the logarithms

How can a square root be rewritten in a logarithmic expression?

• As a power of 2

• As a power of 1/2

• As a power of 5

• As a power of 3

What is the recommended direction to work through when expanding logarithmic expressions?

• Right to left

• Left to right

• Bottom to top

• Top to bottom

What can be used to ensure the correct order of operations when expanding logarithmic expressions?

• Brackets

• Exponents

• Division

• Multiplication