Solving a logarithmic equatio PROBLEM TYPE 2 QUOTIENT

Solving a logarithmic equatio PROBLEM TYPE 2 QUOTIENT -...

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Solving a logarithmic equation: Problem type 2 Solve for : . (If there is more than one solution, write the solutions as a list.) We first rewrite so that one side of the equation has only logarithmic terms: . Next we use the rule for logarithm of a product to combine the logarithmic terms: . Writing the last equation in exponential form , we obtain or . Therefore, and are the solutions of the equation . However, logarithms are defined for positive inputs only, and each of these values of is a solution of the original
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Unformatted text preview: equation only if all logarithmic terms in this equation are defined. Checking these values of with and , we have the following: • • , and . Because both logarithmic terms are defined for , is a solution of the original equation. , and . Because both logarithmic terms are defined for , is another solution of the original equation. Therefore, and are the solutions of the equation . The answer is: For additional explanation, see your textbook: • Section 4.4: Exponential and Logarithmic Equations ....
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Solving a logarithmic equatio PROBLEM TYPE 2 QUOTIENT -...

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