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Introduction To Logarithms. Logarithms were originally developed to simplify complex arithmetic calculations. They were designed to transform multiplicative processes into additive ones. If at first this seems like no big deal, then try multiplying 2,234,459,912 and 3,456,234,459. Without a calculator !
logarithms allow for the simplification of complex problem situations to basic arithmetic operations. In this unit you will examine the definition and inverse relationship with the exponential function, practice the laws of logarithms, solve logarithmic equations, and explore a
Learning Objectives - SWBAT: Define and identify the parent equations of Exponential and Logarithmic functions. Identify the domain and range of Exponential and Logarithmic functions. Convert an Exponential function to Logarithmic form and vice versa. Evaluate a logarithmic expression. Making a connection.
In class students will be guided to compare and to discuss their work with their partner and in a group to master how to graph a logarithmic function, to convert between exponential and logarithmic forms, and to evaluate logarithms. If time permits, we will learn how to use common and natural logarithms.
After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
This lesson plan aims to teach students about graphing logarithmic functions, evaluating logarithmic expressions, and relating logarithms to real-world situations.
It is critically important to understand that logarithms give exponents as their outputs. We will be working for multiple lessons on logarithms and a basic understanding of their inputs and outputs is critical.