5 4 How can I transform log functions? ------------------------------------------------------------------- Transformations of Logarithmic Functions In Lesson 5.3, you investigated logarithmic functions with different bases. To do this, you had to convert a log equation into its corresponding exponential form. In this lesson, you will figure out what a calculator can and cannot do with logs. This will help you write a general equation for a log function. As you work with your team, use the following questions to help focus your discussions. What is a log? How are logarithms and exponential equations related to each other? How can we find an equivalent exponential equation for an equation that is in log form? How can we transform the graphs of log functions? 5-93. SOLVE THE LOG MYSTERY! Have you noticed the EOG key on your calculator? Clearly it is a logarithm, but what is its base? It would have been nice if the designers of your graphing calculator had allowed the [OG key to work with any base, but they did not! Your Task: Find the base of the [LOG key on your calculator. With your team, start by gathering some data and making a table for y = log x. Analyze your data, and when you are sure you have figured out the base, write a clear summary statement justifying your conclusion. Explore using the y = log(x) eTool (Desmos). Discussiorw Poinly What input values give whole number outputs? What do those values tell us? How can we rewrite y = logx