Problem 61 of 7
Solve logarithmic equation log_7(3x)=2 by converting to exponential form.
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apply inverse relationship.
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Apply inverse relationship for linear arguments and constants.
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Solution
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1. Convert the log equation to exponential form.
2. Solve the resulting equation for the variable.
3. Check the original log argument is positive.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Solutions that make the log argument nonpositive.