Name _________________
Period ___ Date _____________
Continuously (Independent Practice) Adapted from Glencoe Algebra 2, pages 540-542 (19, 23, 29, 31, 41, 42, 47-54). Use a calculator to evaluate each expression to four decimal places. 2. ln 5.42 1. e-12 Write an equivalent exponential or logarithmic equation. 3. ex+1
4. ln
7 = 2x 3
For Exercises 5 and 6, use the following information. In 2005, the world’s population was about 6.5 billion. If the world’s population continues to grow at a constant rate, the future population P, in billions, can be predicted by P = 6.5e0.02t, where t is time in years since 2005. 5. According to this model, what will the world’s population be in 2015?
6. Some experts have estimated that the world’s food supply can support a population of at most 18 billion. According to this model, for how many more years will the food supply be able to support the trend in world population growth?
The Ares Curriculum Project, Exponential and Logarithmic Relations, Adapted from Glencoe Algebra 2, 110504_ip_continuously, page 1 of 2
Name _________________
Period ___ Date _____________
Solve each equation or inequality. 7. ln 2x = 4
8. ln 3x = 5
9. ln(x+1) = 1
10. ln(x – 7) = 2
11. ex < 4.5
12. ex > 1.6
13. e5x 25
14. e-2x ≤ 7
The Ares Curriculum Project, Exponential and Logarithmic Relations, Adapted from Glencoe Algebra 2, 110504_ip_continuously, page 2 of 2