Problem 38 of 7
Determine the domain of logarithmic function f(x)=log_2(7-3x).
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require argument positive.
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Require the logarithm argument to be positive.
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Solution
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1. Set the log argument greater than zero.
2. Solve the inequality, using sign charts for rational or quadratic arguments.
3. Write the domain with open endpoints.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Allowing argument equal to zero.