Learning to expand logarithmic expressions

The video tutorial explains how to solve a logarithmic expression by breaking it down into simpler parts. It starts with an introduction to the problem, followed by a step-by-step breakdown of the expression. The tutorial then demonstrates how to simplify the expression using logarithmic properties and exponent rules, ultimately arriving at the final solution.

What is the first step in breaking down the expression log base three of nine Z cubed?

• Combine the terms into a single logarithm

• Divide the terms by the base

• Separate the terms using addition

• Multiply the terms together

How do you evaluate the logarithm log base three of nine?

• By multiplying three by nine

• By determining what power of three gives nine

• By dividing nine by three

• By finding the square root of nine

What is the simplified value of log base three of nine?

• 1

• 2

• 3

• 4

What rule allows you to move the exponent in front of the logarithm?

• Product Rule

• Change of Base Rule

• Quotient Rule

• Power Rule

What is the final simplified form of the expression?

• 3 + 2 times log base three of Z

• 3 times log base three of Z + 2

• 2 + 3 times log base three of Z

• 2 times log base three of Z + 3