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Log Equations

# Log Equations - Solving a Logarithmic Equation of the Form...

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Solving a Logarithmic Equation of the Form

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Step 1: Write as one log isolated on one side. Get your log on one side everything outside of the log on the other side of your equation using inverse operations. Also use properties of logs to write it so that there is only one log. If you need a review on properties of logs feel free to go to Tutorial 44: Logarithmic Properties . Step 2: Use the definition of logarithms to write in exponential form. A reminder that the definition of logarithms is the logarithmic function with base b , where b > 0 and b 0, and is defined as if and only if . If you need a review on the definition of log functions, feel free to go to Tutorial 43: Logarithmic Functions . Step 3: Solve for x . Now that the variable is out of the log, solve for the variable using inverse operations to complete the problem. Example 1 : Solve the logarithmic equation . Round your answer to two decimal places.
Step 1: Write as one log isolated on one side.

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