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- Question
- The simplified form of log(75/16) -2 log(5/9) +log(32/343) is?
Options- A. log 2
- B. 2 log 2
- C. log 3
- D. log 5
- Correct Answer
- log 2
ExplanationGiven Exp. = log75/16 - 2 log5/9 + log32/343
= log [(25 x 3) / (4 x 4)] - log (25/81) + log [(16 x 2) / (81 x 3)]
= log(25 x 3) - log ( 4 x 4 ) - log(25) + log81 + log(16 x 2) -log (81 x 3)
= log 25 + log 3 - log 16 - log 25 + log 81 + log 16 + log 2 - log 81 - log 3
= log 2 - 1. The value of log 9/8 - log 27/32 + log3/4 is?
Options- A. 0
- B. 1
- C. 2
- D. 3 Discuss
- 2. Given that log 10 2 = 0.3010, then log 2 10 is equal to?
Options- A. 0.3010
- B. 0.6990
- C. 1000 / 301
- D. 699 / 301 Discuss
- 3. The value of log 23 x log 32 x log 34 x log 43 is?
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 4. The value of $ \frac{\log_{a}{x}}{\log_{ab}{x}} - \log_{a}{b}$ is?
Options- A. 0
- B. 1
- C. a
- D. ab Discuss
- 5. If log 2 = 0.3010, then the number of digits in 2 64 is?
Options- A. 18
- B. 19
- C. 20
- D. 21 Discuss
- 6. If log 2 = 0.3010 then log 5 equals to?
Options- A. 0.3010
- B. 0.6990
- C. 0.7525
- D. Given log 2, it is not possible to calculate log 5 Discuss
- 7. If log 102 =0.3010 and log 107 = 0.8451, then the value of log 10 2.8 is?
Options- A. 0.4471
- B. 1.4471
- C. 2.4471
- D. 14.471 Discuss
- 8. If log 10 2 =0.301, then the value of log 10(50) is?
Options- A. 0.699
- B. 1.301
- C. 1.699
- D. 2.301 Discuss
- 9. Find the value of log (a 2 / bc) + log (b 2 / ac) + log (c 2 / ab)?
Options- A. 0
- B. 1
- C. abc
- D. ab2c2 Discuss
- 10. Find the value of log 8 + log 1/8?
Options- A. 0
- B. 1
- C. 2
- D. log (64) Discuss
Logarithm problems
Search Results
Correct Answer: 0
Explanation:
Given Exp. = log [{(9/8) / (27/32)} x 3/4)]
= log [(9/8) x (3/4) x (32/27)]
= log 1
= 0
Correct Answer: 1000 / 301
Explanation:
log2 10 = log 10 / log 2
= 1 / log 2
= 1.0000 / 0.3010
= 1000 / 301
Correct Answer: 1
Explanation:
Given Exp.= log23 x log 32 x log34 x log43
= (log3 / log2) x ( log2 / log3) x (log4 / log3) x (log3 / log4) = 1
Correct Answer: 1
Explanation:
? loga x = ( logabx) / (logaba)
? The given expression = [[(logabx) / (logaba)] / [( logabx )] - ( logab)
= (1/logaba) - logab = logaab - logab = loga(ab/b)
= logaa = 1
Correct Answer: 20
Explanation:
Required answer = [64 log10 2] + 1
= [ 64 x 0.3010 ] + 1
= 19.264 + 1
= 19 + 1
= 20
Correct Answer: 0.6990
Explanation:
log 5 = log 10 /2 = log 10 - log 2
= 1 - 0.3010 = 0.6990
Correct Answer: 0.4471
Explanation:
log102.8 = log10(28/10)
= log 28 - log 10
= log (7 x 4 ) - log 10
= log 7 + 2 log 2 - log 10
= 0.8451 + 2 x 0.3010 - 1
= 0.8451 + 0.6020 - 1
= 0.4471
Correct Answer: 1.699
Explanation:
log1050 = log10[(50 x 2) / 2]
= log 100 - log 2
= log10102 - log 2
= 2 - 0.301
= 1.699
Correct Answer: 0
Explanation:
Given Exp. = log (a2 / bc) + log (b2 / ac) + log (c2 / ab)
= log [(a2 x b2 x c2) / (a2 x b2 x c2)]
=log 1
=0
Correct Answer: 0
Explanation:
Given expression = log 8 + log (1/8)
= log 8 x (1/8)
= log 1
= 0
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