contoh soal logaritma

A. Sederhanakan

1. ²log 4 + ²log 8 = ….

2. ⁵log + ⁵log 50 =

3. ⁷log 217 – ⁷log 31 =

4. log 0,04 – log 4 =

5. 2 log 25 – 3 log 5 + log 20 =

6. ⁶log 3 + ⁶log 12 =

7. ²log + ²log 12 =

8. ³log 42 – ³log 14 =

9. ⁵log 320 – 3 ⁵log 4 =

10. ⁶log 9 + 2 ⁶log 2 – 2 ⁶log 6 =

11. log 48 – 2 log 2 – log 3 =

12. 2 ⁶log 16 – 3 ⁶log 4 + ⁶log 9 =

13. ²log 2 + ²log 3 –²log 6 – ²log 8 =

14.

15.

16.

17. ⁸log 4^-24 =

18.

19. =

20.

21.

22.

23. ²log 10 x ⁶log 4 x log 216 =

24. (³log 125 – ³log 5) : (³log 10 – ³log 2) =

25. ³log 15 – ³log 5 + ³log 12 – ³log 4 =

26. ³log 12 – ³log 28 + ³log 63 =

27.

28.

29. ⁵log 10 + ⁵log 50 – ⁵log 4 =

30.

B. Hitunglah nilai x yang memenuhi!

1. ⁴log x – ⁴log 4 = 3

2. log (x² + 36) = 2

3. ⁷log(x-5) + ⁷log (x + 1) = 1

4. ²log (x-2) + ²log (x-3) = ²log 3 . ³log 2

5. log x = log 8 + log 9 – log 27

6.

7. 2^logx = 1

8.

9.

10. ⁴log (4^x . 4) = 2 – x

11. ⁴log (x – 3) + ⁴log (x – 4) =

12. (³log x)² – ³log x + 2 = 0

13.

14. log (2x² -11x + 22) = 1

15. log (x + 7) + log (x + 6) – log (x + 10) = 0

16. ²log (x² – 2x + 1) = ²log (2x² – 2)

17.

18. ⁴log (2x² – 4x + 16) = ²log (x + 2)

19. 25log (x² – 2x – 3) =

20. 2 log x = log (x + 3) + log 4

21. log (x + 3) + 2 log 2 = log x²

22. ²log (x² – x) = 1

23. (x² – 3) = 0

24. ³log x + ³log (2x – 3) = 3

25.

26.

27. ^xlog 0,125 = -3

28. log (2x + 10) = 2

29.

30. ²log (2x – 1) = 4

C. Diketahui :Log 2 = 0,3010 ; log 3 = 0,4771 ; log 5 = 0,6990 ; log 7 = 0,8451

Hitunglah :

1. log 3000 =

2. log

3. log 45 =

4. log 24 =

5. log 72 =

6. log 0,25 =

7. log175 =

8. log 245 =

9. log 700 =

10. log 1500 =

11. log 105 =

12. log 150 =

13. log

14. log 30 =

15. log 90 =

16. log 18 =

17. log 1,5 =

18. log 15 =

19. log 3,5 =

20. log

21. log

22. log

23. log 147 =

24. log 4

25. Jika ²log 5 = p, nyatakan ³²log 5 dalam p.

26. Jika ⁷log 2 = a dan ²log 3 = b, tentukan ⁶log 98

27. Jika ²log 7 = q, nyatakan ⁸log 49 dalam q.

28. Jika ⁵log 3 = a dan ³log 4 = b tentukan ⁴log 15

Diketahui ⁴log 3 = p ; ⁴log 5 = q ; ⁴log 8 = r ; hitunglah :

29. ⁴log 15 + ⁴log 8 =

30. ⁴log 75 + ⁴log 27 =