Logarithm problems
- 1. If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
Options- A. 1
- B. 3
- C. 5
- D. 10 Also asked in: Bank Exams, Bank PO
Correct Answer: 3
Explanation:
⟹ log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10
⟹ log10 [5 (5x + 1)] = log10 [10(x + 5)]
⟹ 5(5x + 1) = 10(x + 5)
⟹ 5x + 1 = 2x + 10
⟹ 3x = 9
⟹ x = 3.
- 2.
The value of ❨ 1 + 1 + 1 ❩ is: log3 60 log4 60 log5 60
Options- A. 0
- B. 1
- C. 5
- D. 60 Also asked in: Bank Exams, Bank PO
Correct Answer: 1
Explanation:
| Given expression | = log60 3 + log60 4 + log60 5 |
| = log60 (3 x 4 x 5) | |
| = log60 60 | |
| = 1. |
- 3. Find the value of log 322 8 + log 2433 7 - log 361296?
Options- A. 3
- B. 2
- C. 1
- D. 0 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 1
Explanation:
Exp. =log3228 + log24337 - log361296
= log25 28 + log35 37 - log36 362
= (8/5)log22 + (7/5)log33 - 2log3636
= 8/5 + 7/5 - 2 = 1
- 4. If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
Options- A. 2.875
- B. 3.875
- C. 4.875
- D. 5.875 Also asked in: Bank Exams, Bank PO
Correct Answer: 3.875
Explanation:
ANS: log5512 = log512/log5 = = = =2.709/0.699 =2709/699 =3.876
- 5. If log 27 = 1.431, then the value of log 9 is
Options- A. 0.754
- B. 0.854
- C. 0.954
- D. 0.654 Also asked in: Bank Exams, Bank PO
Correct Answer: 0.954
Explanation:
log 27 = 1.431
log
= 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log(
)= 2 log 3 = (2 x 0.477) = 0.954
- 6. If log 2 = 0.30103, Find the number of digits in 256 is
Options- A. 17
- B. 19
- C. 23
- D. 25 Also asked in: Bank Exams, Bank PO
Correct Answer: 17
Explanation:
=56*0.30103 =16.85768.
Its characteristics is 16.
Hence, the number of digits in is 17.
- 7. If logx916 = -12, then the value of x?
Options- A. -3/4
- B. 3/4
- C. 81/256
- D. 256/81 Also asked in: Bank Exams, Bank PO
Correct Answer: 256/81
- 8. If log72 = m, then log4928 is equal to ?
Options- A. 1/(1+2m)
- B. (1+2m)/2
- C. 2m/(2m+1)
- D. (2m+1)/2m Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: (1+2m)/2
Explanation:
=
=
=
=
.
- 9. Find the logarithm of 144 to the base 23 :
Options- A. 2
- B. 4
- C. 8
- D. None of these Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 4
Explanation:
- 10. The value of 1log360+1log460+1log560is
Options- A. 0
- B. 1
- C. 5
- D. 60 Also asked in: Bank Exams, Bank PO
Correct Answer: 1
Explanation:
=>
=>
= 1
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