how to solve logarithmic equations To solve a logarithm start by identifying the base which is b in the equation the exponent which is y and the exponential expression which is x Then move the exponential expression to one side of the equation and apply the exponent to the base by multiplying the base by itself the number of times indicated in the exponent
In this article we will learn how to solve the general two types of logarithmic equations namely Equations containing logarithms on one side of the equation Equations with logarithms on opposite sides of the equal to sign This algebra video tutorial explains how to solve logarithmic equations with logs on both sides It explains how to convert from logarithmic form to exponential form using basic
how to solve logarithmic equations
how to solve logarithmic equations
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7 5 Solving Exponential And Logarithmic Equations And Inequalities 2BC
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Solving Logarithmic Equations Math ShowMe
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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 Learn about the properties of logarithms that help us rewrite logarithmic expressions and about the change of base rule that allows us to evaluate any logarithm we want using the calculator Questions Tips Thanks
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 Step 1 use the rules of logarithms to rewrite the left side and the right side of the equation to a single logarithm Step 2 cancel the log Step 3 solve the expression Let s look at a specific ex log5x log23 log56 l o g 5 x l o g 2 3 l o g 5 6
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How do you solve a logarithmic equation with the same base on both sides Example loga b 1 loga c 1 Thanks 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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Unit 5 8 Logarithmic Equations Level 1
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how to solve logarithmic equations - 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