Graphing Logarithmic Functions (VCE SSCE Mathematical Methods): Flashcards

They are inverse functions

$y = x$

$(\frac{1}{a}, -1)$, $(1, 0)$, $(a, 1)$

$\mathbb{R}^+$ (all positive real numbers)

$\mathbb{R}$ (all real numbers)

$x = 0$ (the y-axis)

Strictly increasing

$x = \frac{n}{m}$

$(\frac{n}{m}, \infty)$

$\log_a x = \frac{\log_b x}{\log_b a}$