Laws of Logarithm

12-07-2023 app.cch No Comments

For any positive real numbers $a$, $b$ and $c$, any rational numbers $k$.

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If $a=c^b$, then $b=\log_c (a)$.

$\log_c (ab) = \log_c (a) +\log_c(b)$

$\log_c \left(\dfrac{a}{b}\right) = \log_c(a) -\log _c(b)$

$\log_c(a^k)=k\log_c(a)$

$\log_b(a)=\dfrac{\log_c(a)}{\log_c(b)}$