Logarithmic Functions Review Name: ______
Block______
· Circle your final answers.
· Round all final answers to 3 decimal places.
Write each equation in logarithmic form. 2pts each
1. 4x =36 2. 2 -3 = 3. e2 = x
Write each equation in exponential form. 2pts each
4. log634 = 1.968 5. log232 = 5 6. ln5 =1.609
Evaluate each logarithmic expression. Show your work. Round to the nearest thousandth. 2pts each
5. log654 6. log200 7. log330 8. ln35
Solve for x. Show the equations you use to solve for x. 3 pts each.
9. 5x =28 10. 8x -10 =59 11. 7 (x+3) =210
12. ex =25 13. 2ex +4 =200 14. log5x=4
15. 3 + log4 X =2 16. ln x = 3.2 17. 5(x+3) -4 =75
Solve the Applications. Show your work. Write your answers in complete sentences
Use the formula for 1 & 2:
1. You deposit $12,000 in an account that pays 5.5% interest compounded monthly.
What would your balance be after 2 years? 10 years? 25 years?
2. How much would you need to deposit in an account that pays 4.3% compounded quarterly so that you have $40,000 after 20 years?
3. How long would you have to invest $8,000 in an account paying 6% interest compounded
Continuously so that your ending balance would be $ 24,000?
Use the formula:
4. 250 fruit flies are in container that can support a population of 5000 flies. If the population grows at a rate of 4% per day, how long( days) will it take to reach capacity?
5. On the day your baby is born, how much should you deposit in an account that earns 3.255% interestcompounded continuously so that your child will have $40,000 in his/her college fund on his/her 18th birthday?
6. A colony of bacteria doubles in size every 12 hours. If there are 800 bacteria initially, how many bacteria will there be after 10 days?