Is $n^{\log c}$ the same as $c^{\log n}$? If so, please explain.
2026-04-15 13:12:16.1776258736
Is $n^{\log c} = c^{\log n}$ true?
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$$ n^{\log_b c} = \Big(b^{\log_b n}\Big)^{\log_b c} = b^{(\log_b n)(\log_b c)} = \Big(b^{\log_b c}\Big)^{\log_b n} = c^{\log_b n}. $$