solving logarithmic equations examples

solving logarithmic equations examples Learn how to solve logarithmic equations in two 2 ways One way by setting the argument equal to each other and the other way by converting it as an exponential

Solve each of the following equations Here is a set of practice problems to accompany the Solving Logarithm Equations section of the Exponential and Logarithm Functions chapter of the notes for Paul Dawkins Algebra course at Lamar University In this section we will take logarithmic equations and use properties of logarithms to restate them as exponential equations In the previous section we used the property of logarithms that said log b M p p log b M

solving logarithmic equations examples

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solving logarithmic equations examples
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Techniques For Solving Logarithmic Equations YouTube
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What Are Logarithmic Equations
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In this section we will discuss a couple of methods for solving equations that contain logarithms Also as we ll see with one of the methods we will need to be careful of the results of the method as it is always possible that the method gives values that are in fact not solutions to the equation For many equations with logarithms solving them is simply a matter of using the definition of log x to eliminate logarithms from the equation and convert it into a polynomial or exponential equation

Solve a logarithmic equation algebraically Solve a logarithmic equation graphically Use the one to one property of logarithms to solve a logarithmic equation Solve a radioactive decay problem Logarithms are the inverses of exponents They allow us to solve challenging exponential equations and they are a good excuse to dive deeper into the relationship between a function and its inverse

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When you have constants on each side of the equation and they are being raised to binomial powers how do you solve For example 5 x 3 7 2x 3 When you solve the problem the algebra will lead to two solutions 3 and 3 However only 3 works in the original log function to give you the answer of 4 If you use 3 as the base b in the original log expression you will not get 4 as an answer Instead you will get a very large complex number expression as an answer

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PPT Solving Logarithmic Equations PowerPoint Presentation Free
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solving logarithmic equations examples - Solve a logarithmic equation algebraically Solve a logarithmic equation graphically Use the one to one property of logarithms to solve a logarithmic equation Solve a radioactive decay problem