Exponential & Logarithms (AQA A-Level Mathematics): Flashcards

What power of $3$ gives $27$?

$10$

$a^x = y$

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

$\log(y)$ or $\log_{10}(y)$

$\ln(y)$ or $\log_e(y)$, $e \approx 2.718$

$\log_a(xy) = \log_a(x) + \log_a(y)$

$\log_a(\frac{x}{y}) = \log_a(x) - \log_a(y)$

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

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