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Graphing Exponential and Logarithmic Functions. Work with a partner. Complete each table for the given exponential function. Use the results to complete the table for the given logarithmic function. Explain your reasoning. Then sketch the graphs of f and g in the same coordinate plane. a.
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 topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
Steps for Solving an Equation involving Logarithmic Functions. Isolate the logarithmic function. (a) If convenient, express both sides as logs with the same base and equate the arguments of the log functions. (b) Otherwise, rewrite the log equation as an exponential equation. Example 6.4.1.
Logarithms Practice Test (with detailed Solutions) Topics include logarithm laws, graphing, exponential equations, growth and decay models, ½ life, and more… Mathplane.com
Having previously defined what a logarithm is (see the notes on Functions and Graphs) we now look in more detail at the properties of these functions. The relationship between logarithms and exponentials is expressed as:
Simplify each of the following logarithmic expressions, giving the final answer as a number not involving a logarithm. a) log 4 log 0.52 2− b) log 10 log 52 2− c) 2log 4 log 82 2+ d) 2log 5 2log 0.2520 20− e) 3log 8 3log 324 24+ 3 , 1 , 7 , 2 , 3
