Logarithmic Functions (HSC SSCE Mathematics Advanced): Flashcards

$a^x = b iff x = log_a(b)$

The base

The result

The exponent

$a > 0$ and $a \neq 1$

$b > 0$

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

Calculators only have $\log_{10}$ and $\ln$ buttons

Natural logarithm ($\ln$)

Common logarithm ($\log_{10}$)