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- 1. Multiple Choice
Write the expression as a single logarithm:
ab
- 2. Multiple ChoiceExpand the following logarithm:
log2 5x.log2 5 - log2 xlog2 5 + log2 x2log 5 + 2log xlog5 2 + logx 2 - 3. Multiple ChoiceSimplify: log(3) + 2log(5)log(75)2log(15)log(30)log(13)
- 4. Multiple ChoiceSimplify: log(16) - 3log(2)log(2)log(10)-3log(8)3log(14)
- 5. Multiple ChoiceCondense the following logarithm: 3 log2 x + 2 log2 y – 4 log2 zlog2 x3y2∕z4log2 x3y2z4log2 xyz99log2 xyz
- 6. Multiple ChoiceExpand the following logarithm:
log2 6/ylog2 6 - log2 ylog2 y - log2 62log 6 + 2log ylog2 6 - y - 7. Multiple ChoiceEvaluate logb(1)01-1b
- 8. Multiple ChoiceEvaluate logb(b)-101b
- 9. Multiple ChoiceEvaluate logb(bx)10xb
- 10. Multiple ChoiceRewrite 34 = 81 in logarithmic form.log34 = 81log813 = 4log381 = 4log481 = 3
- 11. Fill in the Blank
Condense into a single log:
- 12. Multiple Choice
Condense into a single log:
- 13. Multiple Choice
Simplifying using the laws of logarithms
log(10)
log(21)
log(343)
log(4)
- 14. Multiple Choice
Simplifying using the laws of logs
log(12)
log(8)
log(3)
log(4)
- 15. Multiple Choice
Simplifying using the laws of logs
log(48)
log(4)
log(80)
log(8)
- 16. Multiple Choice
Simplifying using laws of logarithms
log(56)
log(9)
log(70)
log(8)
- 17. Multiple Choice
Simplifying using laws of logarithms
log(15)
log(72)
log(56)
log(39)
- 18. Multiple Choice
Simplifying using laws of logarithms
3log(-120)
3log(5)
log(500)
log(5)
- 19. Multiple Choice
Simplifying using laws of logarithms
log(31)
log(108)
5log(6)
5log(5)
- 20. Multiple Choice
Write the expression below as a single logarithm in simplest form.
- 21. Multiple Choice
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x and log y.
- 22. Multiple Choice
Write the log equation as an exponential equation. You do not need to solve for x.
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