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- Question
- log 9 27 - log 27 9 is equal to?
Options- A. 6 / 5
- B. 5 / 6
- C. 3
- D. 32
- Correct Answer
- 5 / 6
ExplanationGiven Exp. = log927 - log279
= log27 / log9 - log9 / log27
= 3log3 / 2log3 - 2log3 / 3log3
= 3/2 - 2/3 = 5/6 - 1. (log 5 3 ) x (log 3 625) is equal to?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 2. If log 125 / log 5 = x, then x is equal to?
Options- A. 2
- B. 3
- C. 4
- D. 1 / 2 Discuss
- 3. If log 10 (10x) = 2.7532, then log 10 (10000x) is?
Options- A. 4.7532
- B. 5.7532
- C. 3 x 2.7532
- D. None of these Discuss
- 4. Given that log 10 2 = 0.3010 the value of log 10 5 is?
Options- A. 0.3241
- B. 0.6911
- C. 0.6990
- D. 0.7525 Discuss
- 5. If p x = q, then?
Options- A. logp x = q
- B. logx q = P
- C. logp q = x
- D. logq P = x Discuss
- 6. If 10 x = 1.73 and log 10 1730 = 3.2380, then x is equal to?
Options- A. 1.2380
- B. 0.2380
- C. 2.380
- D. 2.2380 Discuss
- 7. The value of log an / log abn is given by?
Options- A. 1 + logab
- B. 1 + logb a
- C. loga b
- D. logb a Discuss
- 8. If A = log 27625 + 7log 1113 and B = log 9125 + 13log 107 then which of the following is true?
Options- A. A > B
- B. A < B
- C. A =B
- D. can't say Discuss
- 9. Find the number of digits in 8 10? (Given that log 10 2 = 0.3010)
Options- A. 19
- B. 20
- C. 17
- D. 10 Discuss
- 10. Find the no. of digits in 8 57 (given that log 102 = 0.3010)
Options- A. 52
- B. 50
- C. 51
- D. 53 Discuss
Logarithm problems
Search Results
Correct Answer: 4
Explanation:
(log53) x log3 54 = [log3 / log5] x 4 x [log5 / log3]
= 4
Correct Answer: 3
Explanation:
If log 125 / log 5 = x
then x = 3log5 / log5= 3
Correct Answer: 5.7532
Explanation:
log10(103.10x) = log10 103 + log10(10x)
= 3 + 2.7532
= 5.7532
Correct Answer: 0.6990
Explanation:
log105 = log10(10/2)
= log1010 - log102
= 1-0.3010
= 0.6990
Correct Answer: logp q = x
Explanation:
? px = q
? logppx = logpq
? xlogpp = logpq
? x = logpq (?logpp = 1)
Correct Answer: 0.2380
Explanation:
? 10x = 1730/1000
? log10x= log101730 - log101000
? x = 3.2380 - 3
= 0.2380
Correct Answer: 1 + logab
Explanation:
logan / logabn = [( log n / log a) / (log n / log (a.b))]
= log (a.b) / log a
= ( log a + log b) / log a
= 1 + (log b / log a)
= 1 + logab
Correct Answer: A < B
Explanation:
A = log27625 + 7log1113
= log3354 + 7 log1113
= 4/3 log3 5 + 7 log1113
B = log9125 + 13 log117 = log32 53 + 13 log117
= 3/2 log3 5 +13 log11 7
Let log3 5 = x and by the above rule
7 log11 13 = 13 log11 7
Therefore, A = 4/3 x + 13 log11 7
and B = 3/2 x + 13 log11 17
clearly, A < B hence (B) is the correct answer.
Correct Answer: 10
Explanation:
810 = (23)10
? Required answer = [30 log10 2 + 1]
= [30 x 0.3010] + 1
= 9.03 + 1
= 9 + 1
= 10
Correct Answer: 52
Explanation:
857 = (23)57 = 2171
? Required answer = (171 log10 2 + 1 )
= [171 x 0.3010] + 1 = [51.4710] +1
= 51+1 =52
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