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对数相关知识

换底公式

$$ \log_a b = \frac{\log_c b}{\log_c a} = \log_c b \cdot \log_a c $$

相关结论

$$ \because a^{\log_b n} = a^{\log_a n \log_b a} \
\therefore a^{\log_b n} = n^{\log_b a} $$