How To Solve Log Equations?

Identify the logarithmic equation

Determine the domain of each logarithm

Rewrite the equation using log properties if needed

Combine logs with the same base when possible

Convert the logarithmic equation to exponential form

Solve the resulting algebraic equation

Check each solution in the original equation

Reject any solution that makes a log argument nonpositive

Keep only valid solutions

State the final solution set

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