Exponential Functions & Logarithms (Grade 12 NSC Matric Mathematics): Flashcards

$f(x) = b^x$ where $b > 0$ and $b ≠ 1$

When $b > 1$

When $0 < b < 1$

Exponential functions

$x > 0$

$0$ (because $a^0 = 1$)

$1$ (because $a^1 = a$)

$\log_a(x^b) = b \log_a x$

$10$ (written as $\log x$)

$e$ (written as $\ln x$)