Logarithm Expressions and Equations (HSC SSCE Mathematics Advanced): Quizzes

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

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

$n \log_a(x)$

Logarithms must have the same base

Rational because it equals $\frac{2}{1}$

$x > 0$ (argument must be positive)

$x + 3 = 2^3$

$x = 5$

Take logarithm of both sides

Makes $2x - 1 = -6 < 0$ (negative argument)