Laws of Logarithms (Edexcel A-Level Mathematics): Flashcards

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

$b \log(a) = \log(a^b)$

$\log(10000) = \log(10^4) = 4$

$\log(a) - \log(b) = \log(a/b)$

$\log_3(10) + \log_3(5) = \log_3(50)$

$\log(3) + 2\log(a) + 3\log(b)$

$\log(2)$ after applying properties of logarithms.

$x - y = 10^7$

$\log(a*b) = \log(a) + \log(b)$

Result is $\log_5(20/4) = \log_5(5) = 1$.