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- Question
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
- Correct Answer
- 21
- 1. The value of log55log49log32 is :
Options- A. 1
- B. 3/2
- C. 2
- D. 5 Discuss
- 2. Find x if log1218 = log24x + 1. log24x+1 + 4
Options- A. 0
- B. 1
- C. 2
- D. None of these Discuss
- 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 Discuss
- 4. 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) Discuss
- 5. If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ?
Options- A. 1
- B. 2
- C. 4
- D. 8 Discuss
- 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 Discuss
- 7. The value of log2log5625 is :
Options- A. 2
- B. 5
- C. 10
- D. 15 Discuss
- 8. If a = bx, b = cy and c = az then the value of xyz is equal to :
Options- A. -1
- B. 0
- C. 1
- D. abc Discuss
- 9. The number of solutions of the equation logx2x2+40log4xx-14log16xx3=0 is:
Options- A. 0
- B. 1
- C. 2
- D. 3 Discuss
- 10. 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 Discuss
Logarithm problems
Search Results
Correct Answer: 1
Correct Answer: 0
Explanation:
By trial and error method, when we substitute
x = 0
Both LHS and RHS are equal.
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)
Correct Answer: 3(1-a-b)
Correct Answer: 2
Explanation:
Given
Now
=
=
=
Correct Answer: None of these
Explanation:
But at x=-1/3, log x is not defined.
The only admissible value of x is 1.
Correct Answer: 2
Correct Answer: 1
Correct Answer: 3
Correct Answer: 0
Explanation:
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