Logarithmic and exponential functions quiz: N(A)-Level Additional Mathematics (SEAB 4051) quiz

$x^y = a$

$a^y = x$

$a^x = y$

$y^a = x$

$2$

$4$

$3$

$16$

undefined

$1$

$10$

$0$

$\log_a x \times \log_a y$

$\log_a x + \log_a y$

$\log_a x - \log_a y$

$\log_a (x + y)$

$\log_a (x - y)$

$\log_a \dfrac{x}{y}$

$\log_a (xy)$

$\dfrac{\log_a x}{\log_a y}$

$3 \log_a x$

$\log_a (3x)$

$(\log_a x)^3$

$\log_a x + 3$

$(0, 1)$

$(1, 0)$

$(0, 0)$

$(1, 1)$

$(0, 1)$

$(1, 0)$

$(0, 0)$

$(a, a)$

$y = 0$

$x = 0$

$y = x$

$y = -x$

$x = 6$

$x = 5$

$x = 8$

$x = 9$

$x = 4$

$x = 3$

$x = 2$

$x = 8$

differentiate both sides

take logarithms of both sides

square both sides

subtract 5 from both sides

logarithms can have two bases

the answer must be a whole number

a logarithm is only defined for a positive argument

logs are always negative

$\log_a (x^2 + x)$

$2 \log_a x$

$\log_a x^2$

$3 \log_a x$