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- Question
- Find the value of log x + log (1/x)?
Options- A. 0
- B. 1
- C. - 1
- D. 1/2
- Correct Answer
- 0
ExplanationGiven expression = log x + log1/x
= log x + log 1 - log x
= log 1
= 0 - 1. The equation log ax + log a (1+x)=0 can be written as?
Options- A. x2 + x - 1 = 0
- B. x2 + x + 1 = 0
- C. x2 + x - e = 0
- D. x2 + x + e = 0 Discuss
- 2. Find the value of log 8 + log 1/8?
Options- A. 0
- B. 1
- C. 2
- D. log (64) Discuss
- 3. 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
- 4. 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
- 5. 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
- 6. If log 90 = 1.9542 then log 3 equals to?
Options- A. 0.9771
- B. 0.6514
- C. 0.4771
- D. 0.3181 Discuss
- 7. If 2log 4x = 1 + log 4 (x-1), find the value of x.?
Options- A. 2
- B. 1
- C. 4
- D. 3 Discuss
- 8. If log 3 = 0.477 and (1000) x = 3, then x equals to?
Options- A. 0.159
- B. 10
- C. 0.0477
- D. 0.0159 Discuss
- 9. If 5 5-x = 2 x-5, find the value of x .?
Options- A. 5
- B. 0
- C. 1
- D. Can't be determined Discuss
- 10. If log 8 x + log 4 x + log 2x =11, then the value of x is?
Options- A. 2
- B. 4
- C. 8
- D. 64 Discuss
Logarithm problems
Search Results
Correct Answer: x2 + x - 1 = 0
Explanation:
logax + loga(1+x) = 0
? logax (x+1) = loga1 (since log 1 = 0)
? x(x +1) = 1
? x2 + x - 1 = 0
Correct Answer: 0
Explanation:
Given expression = log 8 + log (1/8)
= log 8 x (1/8)
= log 1
= 0
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: 1.699
Explanation:
log1050 = log10[(50 x 2) / 2]
= log 100 - log 2
= log10102 - log 2
= 2 - 0.301
= 1.699
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: 0.4771
Explanation:
Given log90 = 1.9542
? log(32 x 10) = 1.9542
? 2log 3 + log 10 = 1.9542
? log 3 = 0.9542 / 2 = 0.4771
Correct Answer: 2
Explanation:
? 2log4x = 1 + log4(x-1)
? log4x2 = log44 + log4(x-1)
? x2 = 4(x-1)
? x2 - 4x + 4 = 0
? (x-2)2 = 0
? x = 2
Correct Answer: 0.159
Explanation:
? (1000)x = 3
? xlog 103 = log 3
? 3x = log 3
? x = log 3 / 3 = 0.477 / 3 = 0.159
Correct Answer: 5
Explanation:
? 55-x = 2x-5
? 55-x = 2-(5-x)
? (5-x)log 5 = -(5-x)log 2
? (5-x)log 5 + (5-x)log 2 = 0
? (5-x){log 5 + log 2 } = 0
? (5-x){log10/2 + log 2 } = 0
? (5-x){log10 - log 2 + log 2} = 0
? 5-x = 0
? x = 5
Correct Answer: 64
Explanation:
? log23 x1 +log22 x1 + log2x = 11
? 1/3log2x + 1/2log2x + log2x = 11
? (1/3 + 1/2 +1)log2x = 11
? 11/6log2x = 11
? log2x = 11 x 6 / 11 =6
? x = 26 = 64
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