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Logarithm Laws

ALGEBR-GDXVAZ

Which of the following are valid rules, where $a$, $b$, and $c$ are constants? Select ALL that apply.

A

$\log_a\left(b^c\right) = c\log_a(b)$

B

$\log_a(bc)=\log_a(b+c)$

C

$\log_a(b)-\log_a(c)=\log_a\left(\cfrac{b}{c}\right)$

D

$\log_a(b)=c$ is equivalent to $a^b=c$

E

$\log_a(b)=\frac{\log_c(b)}{\log_c(a)}$

F

$a^{\log_a(b)}=b$