Logarithm problems
- 1. If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?
Options- A. 1
- B. 2
- C. 4
- D. 8 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 2
Explanation:
Given
Now
=
=
=
- 2. If log330 = 1a and log530=1b then the value of 3log302 is:
Options- A. 3(1+a+b)
- B. 2(1-a-b)
- C. 3(1-a-b)
- D. 3(1+a-b) Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 3(1-a-b)
- 3. Which of the following statements is not correct?
Options- A. log10 = 1
- B. log (2 + 3) = log (2 x 3)
- C. log1 = 0
- D. log (1 + 2 + 3) = log 1 + log 2 + log 3 Also asked in: Bank Exams, Bank PO
Correct Answer: log (2 + 3) = log (2 x 3)
Explanation:
log (2 + 3) = log 5
log (2 x 3) = log 2 + log 3
log (2 + 3)
log (2 x 3)
- 4. Find x if log1218 = log24x + 1. log24x+1 + 4
Options- A. 0
- B. 1
- C. 2
- D. None of these Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 0
Explanation:
By trial and error method, when we substitute
x = 0
Both LHS and RHS are equal.
- 5. It is given that log10 2= 0.301 and log10 3 = 0.477. How many digits are there in (108)10 ?
Options- A. 19
- B. 20
- C. 21
- D. 22 Also asked in: Bank Exams
Correct Answer: 21
- 6. The value of x satisfying the following relation: log12x = log23x-2
Options- A. 1/3
- B. -1/3
- C. 3
- D. None of these Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: None of these
Explanation:
But at x=-1/3, log x is not defined.
The only admissible value of x is 1.
- 7. The value of log2log5625 is :
Options- A. 2
- B. 5
- C. 10
- D. 15 Also asked in: Bank Exams, CAT, Bank Clerk
Correct Answer: 2
- 8. The number of solutions of the equation logx2x2+40log4xx-14log16xx3=0 is:
Options- A. 0
- B. 1
- C. 2
- D. 3 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 3
- 9. If a, b, c be the pth, qth and rth terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :
Options- A. 0
- B. 1
- C. -1
- D. pqr Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 0
Explanation:
- 10. The value of log3437 is :
Options- A. 1/3
- B. -3
- C. -1/3
- D. 3 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 1/3
Explanation:
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