2.9 Exponential and logarithmic functions Quiz

1. What is the value of $\log_{5} 125$?

• A. $25$
• B. $3$
• C. $\frac{1}{3}$
• D. $5$

2. What is the range of $f(x) = e^{x} + 2$?

• A. $f(x) > 0$
• B. $f(x) \ge 2$
• C. all real numbers
• D. $f(x) > 2$

3. Which is equal to $3^{x}$?

• A. $e^{3x}$
• B. $e^{x \ln 3}$
• C. $3e^{x}$
• D. $\ln 3^{x}$

4. What is the domain of $g(x) = \ln(x - 2)$?

• A. $x > 2$
• B. $x > 0$
• C. $x \ge 2$
• D. $x > -2$

5. The graph of $y = \log_{4} x$ is reflected in $y = x$. What is the equation of the new graph?

• A. $y = x^{4}$
• B. $y = -\log_{4} x$
• C. $y = 4^{x}$
• D. $y = \log_{x} 4$