Problem 116 of 7
Compare logarithms in different bases: log_{1/3}(9) and log_3(9).
Hints
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translate and reason about exponent size.
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Translate and reason about exponent size for same argument with different bases.
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Solution
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1. Interpret each log as an exponent question.
2. Evaluate exactly when possible.
3. Compare the exponent values.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming larger base always gives larger log without considering argument range.