Problem 49 of 7
Evaluate logarithm log_4(1/16) in a non-10/non-e base.
Hints
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reason with base powers.
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Reason with base powers for bases 2, 3, 4, 5, and fractions.
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Solution
Walkthrough
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1. Rewrite the argument and base using common powers if useful.
2. Solve base^x=argument.
3. State x as the log value.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Approximations when an exact power relationship is clear.