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- Question
- If log 5 (x 2 + x) - log 5 x = 2 then the value of x is?
Options- A. 24
- B. 25
- C. 23
- D. 120
- Correct Answer
- 24
Explanation? log5[(x2 + x ) / x] = 2
? log10(x + 1) = 2
? x + 1 = 25
? x = 24 - 1. The mantissa of log 3274 is 0.5150, then the value of log 32.74 is?
Options- A. 1.5150
- B. 2.5150
- C. 0.5150
- D. 1.5150 Discuss
- 2. (log tan1°. log tan2° ............. log tan50°) is?
Options- A. 0
- B. 1
- C. 2
- D. - 1 Discuss
- 3. If log (0.57) = 1756, then the value of log 57 + log (0.57) 3 + log ? 0.57 is?
Options- A. 0.902
- B. 1.902
- C. 1.146
- D. 2.146 Discuss
- 4. If log 1227 =a then log 616 is?
Options- A. 4(3 - a) / 3 + a
- B. 4(3 + a) / 3 - a
- C. 3 + a / 4(3 - a)
- D. 3 - a / 4(3 + a) Discuss
- 5. If log x4 = 0.4 then the value of x is?
Options- A. 4
- B. 16
- C. 1
- D. 32 Discuss
- 6. If log a, log b, log c are in A.P. then?
Options- A. a, b, c are in G.P.
- B. a2, b2, c2 are in G.P.
- C. a, b, c are in A.P.
- D. None of these Discuss
- 7. The compound interest on Rs. 12,000 for 10 years at the rate of 12% per annum compounded annually is?
Options- A. 25350
- B. 23550
- C. 2550
- D. 25550 Discuss
- 8. The number of digits in the numeral for 2 64?
Options- A. 18 digit
- B. 19 digit
- C. 20 digit
- D. 21digit Discuss
- 9. Given log 10 2 = 0.30103, log 10 3 = 0.47712. Find the number of digit, in 3 12 x 2 8?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
- 10. The value of 1/(log 2 ?) + 1/(log 6 ?) is?
Options- A. greater then 1
- B. less than 1
- C. between 5 and 6
- D. None of these Discuss
Logarithm problems
Search Results
Correct Answer: 1.5150
Explanation:
Since, 0.3274 gives characteristic 1. Therefore value of log (0.3274) = 1.5150
Correct Answer: 0
Explanation:
? log tan 45 = log 1 = 0
Hence, Whole Expression = (something) x zero
Correct Answer: 0.902
Explanation:
Given Exp.
= log (57 x 100 / 100) + 3log(0.57) + 1/2log(0.57)
= log (0.57) + log 102 + 3log(0.57) +1/2log (0.57)
= (1 + 3 + 1/2) log(0.57) + 2 [? log102 = 2]
= (4.5 x 1.756) + 2 = 4.5 x (-1 + 0.756) + 2
= 3.402 - 4.5 + 2
= 0.902
Correct Answer: 4(3 - a) / 3 + a
Explanation:
? log1227 = a
? log 27 / log 12 = a
? a log 12 = log 33
? a log ( 3 x 4 ) = 3 log 3
? a[log 3 + log 4] = 3 log 3
? a log 4 + a log 3 = 3 log 3
? a log 22 = ( 3 - a) log 3
? 2a log 2 = (3 - a) log 3
? log 2 / log 3 = (3 - a) / 2a
Now log616 = log16 / log 6 = log 24 / log (2 x 3) = 4 log 2 / ( log 2 + log 3)
= [4 (log 2 / log 3)] / [(log 2 / log 3) + 1]
= 4[(3 - a) / 2a] / [{(3 - a) / 2a } + 1]
= 4(3 - a) / (3 + a)
Correct Answer: 32
Explanation:
logx4 = log 4 / log x = 2/5
? 2log2 / log x = 2/5
? log x =5log 2 = log 25
? log x = log 32
? x = 32
Correct Answer: a, b, c are in G.P.
Explanation:
? loga, logb, logc are in A.P. Then,
? logb - loga = logc - logb
? log b/a = log c/b
? b/a = c/b
? b2 = ac
? a, b, c are in G.P.
Correct Answer: 25350
Explanation:
? A = 12,000(1 + 12/100)10
= 12000(28/25)10
? log A = log 12000 + 10[log 28 - log 25]
? log A = 4.0792 + 10(1.4472 - 1.3979)
= 4.0792 + 0.493
= 4.5722
? A = antilog 4.5722 = 37342
C.I. = 37342 - 12000 = 25342
=25350
Correct Answer: 20 digit
Explanation:
? x = 264
? log x = log 264
? log x = 64 log 2
= 64 x .3010 = 19.264
? No.of digits = 19 + 1 = 20
Correct Answer: 9
Explanation:
Let N = 312 x 28
? log N = 12 x log3 + 8 x log 2
? log N = 12 x 0.47712 + 8 x 0.30103
? log N = 8.13368
? No.of digits = 8 + 1 = 9
Correct Answer: greater then 1
Explanation:
Given exp. = 1/(log2 ?) + 1/(log6 ?)
= log? 2 + log? 6
= log? (2 x 6)
= log?12
Since 12 > ? so the value of given expression is more than 1.
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