Problem 107 of 7
Determine whether logarithm log_{1/3}(9) is positive, negative, or zero.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
compare argument to 1 relative to base.
Hidden until you reveal it.
Compare argument to 1 relative to bases greater than 1 and between 0 and 1.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Check whether the argument is positive.
2. Compare argument to 1.
3. Use whether the base is greater than 1 or between 0 and 1 to decide the sign.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Assuming every argument greater than 1 gives positive log when base is between 0 and 1.