Trigonometry/Precalculus: Gateway Exam #1

Vocabulary practice flashcards covering exponential and logarithmic properties from Gateway Exam #1.

$$(xy)^{m}$$

Equal to $x^{m}y^{m}$ .

$$(x^{m})^{n}$$

Equal to $x^{mn}$ .

$$\log_b(x^y)$$

Equal to $y\log_b(x)$.

$$y = b^x$$

Equivalent to $x = \log_b(y)$.

$$\frac{x^{m}}{x^{n}}$$

Equal to $x^{m-n}$ .

$$x^{\frac{1}{m}}$$

Equal to $\sqrt[m]{x^{}}$ .

$$\log_b(x) + \log_b(y)$$

Equal to $\log_b(xy)$.

$$x^{-m}$$

Equal to $\frac{1}{x^{m}}$ .

$$\log_b(x) - \log_b(y)$$

Equal to $\log_b\left(\frac{x}{y}\right)$.

$$\left(\frac{x}{y}\right)^{m}$$

Equal to $\frac{x^{m}}{y^{m}}$ .

$$y = \log_b(x)$$

Equivalent to $x = b^y$.

$$x^{m}\cdot x^{n}$$

Equal to $x^{m+n}$ .