The natural logarithm ln x Quiz

1. Solve $\ln(x+4)=2$.

• A. $x=e^{2}-4$
• B. $x=e^{2}+4$
• C. $x=-2$
• D. $x=\ln2-4$

2. What is the domain of $y=\ln(5-x)$?

• A. $x>5$
• B. $x>0$
• C. $x<5$
• D. $x\le5$

3. What is the vertical asymptote of $y=\ln(x-3)$?

• A. $x=-3$
• B. $x=3$
• C. $y=3$
• D. $x=0$

4. Evaluate $\ln\left(e^{4}\right)-e^{\ln2}$.

• A. $2$
• B. $4$
• C. $-2$
• D. $6$

5. The graph of $y=\ln(x+1)$ crosses the $x$-axis at:

• A. $(1,0)$
• B. $(-1,0)$
• C. $(0,0)$
• D. $(e,0)$