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Solve the equation. log 5x - log(x + 2) = log 4

          Solve the equation. log 5x - log(x + 2) = log 4
        
Solve the equation. log 5x - log(x + 2) = log 4

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Beginning and Intermediate Algebra
Beginning and Intermediate Algebra
Elayn Martin-Gay 4th Edition
Chapter 12
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Solve the equation. log5x−log(x+2) =log4
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Transcript

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00:01 We note that two log expressions, log of a and log of b are only equal if and only if their arguments a and b are also equal.
00:12 We're going to apply this property in order to find the solution of the given log expression.
00:19 So log of 5x and minus log of x plus 2 equals log of 4.
00:31 So first we're going to combine or condense the two log expressions in the left -hand side by applying the property that when you have the difference of the two logs you can apply the log of a quotient such that you have log of 5x over x plus 2...
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