AFM LOG EXAM REVIEW SHEET
NAME________________________________________________________DATE____________
1) Find the value of log7 83 using the change of base formula
2) Find the balance in an account at the end of 12 years if $7200 is invested at a rate of
8.3% compounded continuously
3) In 1997, the population of Mint Hill was 2,000. The population grows exponentially at a
rate of 6% each year. Predict the population in 2008
4) Solve log7x2 – log74 = log7 21
5) Sketch quadratic, exponential, logarithmic, logistic.
6) Sketch log(x-4)
7) Sketch log(log+2)
8) Solve e4x = 73
9) How much time will it take an investment to double at a rate of 6%, if it compounded
continuously?
10) Find the value of log9 99 using the change of base formula
11) Find the balance in an account at the end of 7 years if $4300 is invested at a rate of 3%
compounded continuously
12) In 1993, the population of branford was 10,000. The population grows exponentially at
a rate of 4% each year. Predict the population in 1999
13) Solve lnx2 + ln5 = ln 5000
14) Sketch log(x+1)
15) Sketch log(log-4)
16) Solve e3x = 3
17) How much time will it take an investment to triple at a rate of 4%, if it compounded
continuously?
18) Find the value of log19 22 using the change of base formula
19) Find the balance in an account at the end of 4 years if $200 is invested at a rate of 4.3%
compounded continuously
20) In 2003, the population of Dilworth was 1,000. The population grows exponentially at a
rate of 4% each year. Predict the population in 2015
21) Solve log124x2 – log124 = log12 4
22) Solve 3+3e5x = 27
23) How much time will it take an investment to quadruple at a rate of 17%, if it
compounded continuously?