Problem 56 of 7
Expand numeric logarithm log_3(27) into simpler known logs.
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factor argument into useful products/powers.
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Factor argument into useful products and powers of known bases.
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Solution
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1. Factor the argument into known powers and leftover factors.
2. Apply product and power laws.
3. Evaluate known log terms exactly.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Splitting logs across sums.