NY Regents Algebra II exponential, logarithmic, and trigonometric functions quiz quiz

$5^x = 125$

$125^x = 5$

$5 \cdot x = 125$

$x^5 = 125$

$2\log x + \log y$

$\frac{2\log x}{\log y}$

$\log x^2 \cdot \log y$

$2\log x - \log y$

$x = 27$

$x = 4$

$x = 3$

$x = 5$

because logs always have two solutions

to convert to exponential form

to verify the arithmetic only

because the argument of a logarithm must be positive

$x = \frac{\log 50}{\log 2}$

$x = 25$

$x = 50 - 2$

$x = \log 25$

$\frac{3\pi}{4}$

$\frac{2\pi}{3}$

$\frac{5\pi}{6}$

$\frac{\pi}{3}$

$-\frac{4}{5}$

$\frac{3}{5}$

$\frac{4}{5}$

$-\frac{3}{5}$

$2\pi$

$4$

$\frac{\pi}{2}$

$\pi$

$15$

$3$

$8$

$5$

$11$

$18$

$54$

$24$

$\frac{n}{2}(a_1 + a_n)$

$\frac{a_1 - a_1 r^n}{1 - r}$

$a_1 + (n - 1)d$

$a_1 r^{n-1}$

$A = \frac{n}{2}(a_1 + a_n)$

$A = A_0 e^{kt}$

$A = a + rt$

$A = a_1 + (n-1)d$