Algebra Adventure
  • Adventure Central
  • Quadratic Quandry
    • Level One: Quadratics In Vertex Form>
      • What is Vertex Form
      • Transforming General Form to Vertex Form
      • Will it Hit The Hoop?
    • Level Two: Graphs Using Vertex Form>
      • Graphing Quadratics in Vertex Form
      • Quadratic Modeling Using Vertex Form
      • Project: Modeling the Golden Gate Bridge
      • Project: Quadratic Regression Modeling
    • Level Three: Optimization Using Quadratic Functions>
      • What is Optimization?
      • Optimization With Quadratic Functions
      • Problem Solving With Quadratic Optimization
  • Sequences Spree
    • Level One: Arithmetic Sequences>
      • Number Sequences
      • Identifying and Using Arithmetic Sequences
      • Problem Solving With Arithmetic Sequences
    • Level Two: Geometric Sequences>
      • Identifying and Using Geometric Sequences
      • Connection: Geometric Sequences & Exponentials
      • Problem Solving With Geometric Sequences>
        • Double Sunglasses
        • Fry's Bank
        • Incredible Shrinking Dollar
  • Logarithm Legend
    • Level One: Intro to Logarithms>
      • Logarithms & Exponentials
      • Logarithms in Base 10
    • Level Two: The Laws of Logarithms & Natural Logs>
      • Investigation: Discovering the Laws of Logarithms
      • Using the Laws of Logarithms
      • Natural Logarithms
    • Level Three: Applications of Logarithms>
      • Solving Exponential Equations Using logs
      • Further Problem Solving Using Logs>
        • Double Sunglasses: Reprise
        • Fry's Bank: Reprise
        • Domino Skyscraper

Investigation: Discovering the Laws of Logarithms

There are three Laws of Logarithms that make using logs in problem solving much more effective and efficient. In this investigation, you will develop these Laws independently, and demonstrate your understanding of how they work by providing informal proofs.

Please download the document below for instructions and guidelines on how to complete the investigation.

Please submit the completed investigation to your teacher for evaluation and feedback.
log_laws.docx
File Size: 441 kb
File Type: docx
Download File

After you have finished this learning activity, continue to the page "Using the Laws of Logarithms", or click on the button below.
continue the adventure!