College Algebra, 4th Edition

Practice Test A

1. Solve the equation $5^{-x}=125.$

2. Solve the equation ${\log }_{2}x=5.$

3. State the range of $y=-e^x+1$ and find the asymptote of its graph.

4. Evaluate ${\log }_2{\displaystyle \frac{1}{8}}.$

5. Solve the exponential equation ${\left({\displaystyle \frac{1}{4}}\right)}^{2-x}=4.$

6. Evaluate log 0.001 without using a calculator.

7. Rewrite the expression $\ln 3+5\ln x$ in condensed form.

8. Solve the equation $2^{x+1}=5.$

9. Solve the equation $e^{2x}+e^x-6=0.$

10. Rewrite the expression $\ln {\displaystyle \frac{2x^3}{{(x+1)}^5}}$ in expanded logarithmic form.

11. Evaluate ${\ln e}^{-5}.$

12. Give the equation for the graph obtained by shifting the graph of $y=\ln x$ up 3 units and 1 unit right.

13. Sketch the graph of $y=3^{x-1}+2.$

14. State the domain of the function $f(x)=\ln (-x)+4.$

15. Write $3\ln x+\ln (x^3+2)-{\displaystyle \frac{1}{2}}\ln (3x^2+2)$ in condensed form. 

16. Solve the equation $\log x=\log 6-\log (x-1).$

17. Find x if ${\log }_{x}9=2.$

18. Suppose $15,000 ...