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- 1. Multiple Choice
Rewrite log28 = 3 in exponential form
28 = 3
23 = 8
32 = 8
83 = 2
- 2. Multiple ChoiceRewrite 34 = 81 in logarithmic form.log34 = 81log813 = 4log381 = 4log481 = 3
- 3. Multiple Choice
Write in logarithmic form
2-4 = 1/16
log2(1/16) = -4
log-4(1/16) = 2
log -4 2 = 1/16
log2(-4) = 1/16
- 4. Multiple Choice
Write in exponential form
log232 = 5
2-5 = 32
232 = 5
25 = 32
325 = 2
- 5. Multiple ChoiceSolve for x:
logx 25 = 25-51/5-1/5 - 6. Multiple ChoiceSolve for x.
3x = 272435 - 7. Multiple ChoiceEvaluate.
log38141/4-4-1/4 - 8. Multiple ChoiceEvaluate log41104undefined
- 9. Multiple ChoiceEvaluate.
3 log243624 - 10. Multiple Choice
State the property (s) used to simplify the expression
6log 2 = log 64
Product Property
Quotient Property
Power Property
Product and Power Property
- 11. Multiple Choice
State the property (s) used to simplify the expression
log420 - 3log4x = log4(20/x3)
Power Property
Quotient Property
Quotient and Power Property
Product and Power Property
- 12. Multiple Choice
Write the logarithm expression as a single logarithm
log54 + log53
log57
log512
log75
3log54
- 13. Multiple Choice
Write the logarithm expression as a single logarithm
log625 - log65
log6125
log520
log65
log630
- 14. Multiple Choice
Write the logarithm expression as a single logarithm
log460 - log44 + log4x
log415
log415x
log456x
xlog430
- 15. Multiple Choice
Write the logarithm expression as a single logarithm
2log 4 + log 2
log 8
log 16
log 32
log 82
- 16. Multiple Choice
Write as one logarithm. Simplify, if possible.
log39 + log327
log33
log3243
log31/3
not possible
- 17. Multiple Choice
Expand the logarithm expression
log 6x3y
log 6x3 + log y
log 6 + log x3 + log y
3 log 6 + log x + log y
log 6 + 3log x + log y
- 18. Multiple Choice
Expand the logarithm expression
log 5x/4y
log 5x + log 4y
log 5x - 4log y
(log 5 + log x) - (log 4 + logy)
5log x - 4 logy
- 19. Multiple Choice
Write as one logarithm. Simplify, if possible.
(log 3 - log 6) + log 2
log 4
log 2
log 1
log 6
- 20. Multiple Choice
Expand the logarithm expression
log55x-5
-5(log55x)
-5log55 + log5x
log525x
log55 - 5log5x
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