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Adv Alg Name_________________________________ Date_________________________Pd______ SOLVING LOG EQUATIONS Solve each equation. Round to four decimal places, if necessary. 1. ln + 1 = 4 2. ! 2 + 5 = 4 3. log −4 − 7 = log (−3) 4. 3 !! = 3 !!! 5. ! 5 − 6 = ! 3 + 2 6. 1 + ! − 1 = 1 7. 10 ! + 7 = 30 8. 6 !!! = 6 !!!!"

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Page 1: Solving Log Equationsjoannemusa.weebly.com/.../solving_log_equations.pdf · Microsoft Word - Solving Log Equations.docx Created Date: 2/27/2017 3:53:30 AM

AdvAlg Name_________________________________ Date_________________________Pd______

SOLVINGLOGEQUATIONS

Solveeachequation.Roundtofourdecimalplaces,ifnecessary.

1. ln 𝑥 + 1 = 4

2. 𝑙𝑜𝑔! 2𝑥 + 5 = 4

3. log −4𝑥 − 7 = log (−3𝑥)

4. 3!! = 3!!!

5. 𝑙𝑜𝑔! 5𝑥 − 6 = 𝑙𝑜𝑔! 3𝑥 + 2

6. 1+ 𝑙𝑜𝑔! 𝑥 − 1 = 1

7. 10 𝑙𝑜𝑔! 𝑥 + 7 = 30

8. 6!!! = 6!!!!"

Page 2: Solving Log Equationsjoannemusa.weebly.com/.../solving_log_equations.pdf · Microsoft Word - Solving Log Equations.docx Created Date: 2/27/2017 3:53:30 AM

9. 𝑙𝑛 𝑥 + 3 = 𝑙𝑛 4𝑥 − 7

10. log 𝑥 + log 4 = log (28)

11. log 𝑥 − log 4 = 1

12. 5!!! = 21

13. log(5)+log(x)=2

14. 𝑙𝑜𝑔! −2𝑥 + 1 = 3

Page 3: Solving Log Equationsjoannemusa.weebly.com/.../solving_log_equations.pdf · Microsoft Word - Solving Log Equations.docx Created Date: 2/27/2017 3:53:30 AM

15. ln 21 = ln 𝑥 + ln (3)

16. 4!!! = 13

17. log 𝑥 − log 2 = 3

18. 4 = 𝑙𝑜𝑔!(𝑥 + 2)

19. 𝑙𝑜𝑔! 𝑥 + 3 − 𝑙𝑜𝑔! 3 = 1

20. 𝑙𝑜𝑔! 5𝑥! − 𝑙𝑜𝑔! 9 = 1

Page 4: Solving Log Equationsjoannemusa.weebly.com/.../solving_log_equations.pdf · Microsoft Word - Solving Log Equations.docx Created Date: 2/27/2017 3:53:30 AM

21. 𝑙𝑜𝑔! 𝑥! + 5 − 𝑙𝑜𝑔! 9 = 1

22. ln 𝑥 − ln 1− 5𝑥 = 1

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