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Mathematics
10th -
12thgrade
Solving Logarithmic and Exponential Equations
25 questions
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- 1. Multiple Choice32x – 6 = 81x = log 4x = 5x = 4x = -1
- 2. Multiple Choicelog2(2) + log2(8x) = 6x = 3x = 2x = 6x = 4
- 3. Multiple Choicelog6(2x + 3) = 3x = 106.5x = 100x = 16x = 50
- 4. Multiple Choice2log (2x)4 = 16x = 4x = 10x = 50x = 2
- 5. Multiple ChoiceABCD
- 6. Multiple Choice
Solve:
log x + log 8 = 2
92
12.5
12
17.5
- 7. Multiple Choicelog2(x + 2) + log2x = 3-4, 2-2, 42 ; -4 is extraneous1 ; -3 is extraneous
- 8. Multiple ChoiceSolve for x.no solutiononly 66 and -23
- 9. Multiple ChoiceSolve.
ln√(x+3)=4e2-3e4-3e8-3e8+3 - 10. Multiple ChoiceSolve.
e4x=122.489.940.623 - 11. Multiple ChoiceSolve for x.
e2x-ex-2 = 0x = 0x = ln 2, ln -1x = ln 2, ln 0x = ln2 - 12. Multiple Choice
Solve:
ln (3x + 2) = ln (5x - 6)
x = 1
x = 4
x = 2
x = 7
- 13. Multiple Choice
Solve:
log2 x + log2 (x + 5) = log2 (3x + 8)
x = 2
x = -4
x = 2 and x = -4
no solution
- 14. Multiple ChoiceUsing the change of base rule, what is this logarithm equivalent to?ABCD
- 15. Multiple ChoiceSolve the equation for x.7.3890.6930.01836.581
- 16. Multiple Choice
What is the base in the equation
log 8 = 3?
8
10
3
1
- 17. Multiple Choice
Solve.
9(ex) - 31 =23
x = 1.79
x = 4.21
x = -3.5
x = 1.27
- 18. Multiple Choice
Rewrite the exponential as a log.
23x+1 = 12
ln(2)= 3x+1
log2(12)= 3x+1
ln(6)=3x+1
log12(2)= 3x+1
- 19. Multiple Choice
A population of fish starts at 8,000 and decreases to 7,680 by the end of the first year. What is the population of fish after 10 years?
14327
4309
839
7680
- 20. Multiple Choice
The number of mosquitoes at the beginning of the summer was 4,000. After two months, there were 6,250 mosquitoes. How many mosquitoes will there be after 4 months?
9766
9006
9765
5433
- 21. Multiple Choice
Daniel’s Print Shop purchased a new printer for $35,000. After one year it is worth $33,250. How much will the printer be worth in 8 years?
$23,219.72
$136.72
$51,710.94
$16,710.94
- 22. Multiple Choice
The half-life of a substance is 28 years. How much of a 34 gram sample will remain after 300 years?
17 g
0.020 g
-0.025
0.976 g
- 23. Multiple Choice
The population of Country A is 2.2 million in 1975 and 5.36 million in 2015. Using 1975 as t = 0, find the prediction equation of Country A’s population, and predict the population for Country A in 2020.
2.436 million
5.891 million
5.991 million
6.091 million
- 24. Multiple Choice
What is the base in the equation
ln (3x + 2) = ln (5x - 6)?
ln
e
10
5
- 25. Multiple Choice
- Answer choicesTagsAnswer choicesTags