\(\log_b{(xy)}=\log_b{(x)}+\log_b{(y)}\)
\(\log_b{\left( \dfrac{x}{y} \right)}=\log_b{(x)}-\log_b{(y)}\)
\(\log_b{(x^n)}=n\log_b{(x)}\)
\(\log_b{(x})=\dfrac{\log_k{(x)}}{\log_k{(b)}}\) (for any base \(k\))
\(\log_b{(1)}=0\) (since \(b^0=1\))
\(\log_b{(b)}=1\) (since \(b^1=b\))
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