Logarithm problems
- 1. If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
Options- A. 2.875
- B. 3.875
- C. 4.875
- D. 5.875 Discuss
Correct Answer: 3.875
Explanation:
ANS: log5512 = log512/log5 = = = =2.709/0.699 =2709/699 =3.876
- 2. If log 2 = 0.30103, Find the number of digits in 256 is
Options- A. 17
- B. 19
- C. 23
- D. 25 Discuss
Correct Answer: 17
Explanation:
=56*0.30103 =16.85768.
Its characteristics is 16.
Hence, the number of digits in is 17.
- 3. If log 27 = 1.431, then the value of log 9 is
Options- A. 0.754
- B. 0.854
- C. 0.954
- D. 0.654 Discuss
Correct Answer: 0.954
Explanation:
log 27 = 1.431
log
= 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log(
)= 2 log 3 = (2 x 0.477) = 0.954
- 4. If logaab = x, then logbab = ?
Options- A. 1/x
- B. x/(x+1)
- C. x/(1-x)
- D. x/(x-1) Discuss
Correct Answer: x/(x-1)
- 5. If logx916 = -12, then the value of x?
Options- A. -3/4
- B. 3/4
- C. 81/256
- D. 256/81 Discuss
Correct Answer: 256/81
- 6. If log72 = m, then log4928 is equal to ?
Options- A. 1/(1+2m)
- B. (1+2m)/2
- C. 2m/(2m+1)
- D. (2m+1)/2m Discuss
Correct Answer: (1+2m)/2
Explanation:
=
=
=
=
.
- 7. Find the logarithm of 144 to the base 23 :
Options- A. 2
- B. 4
- C. 8
- D. None of these Discuss
Correct Answer: 4
Explanation:
- 8. If logxl+m-2n = logym+n-2l = logzn+l-2m , then xyz is equal to
Options- A. 0
- B. 1
- C. lmn
- D. 2 Discuss
Correct Answer: 1
- 9. If log 64 = 1.8061, then the value of log 16 will be (approx)?
Options- A. 1.9048
- B. 1.2040
- C. 0.9840
- D. 1.4521 Discuss
Correct Answer: 1.2040
Explanation:
Given that, log 64 = 1.8061
i.e
--> 3 log 4 = 1.8061
--> log 4 = 0.6020
--> 2 log 4 = 1.2040
Therefore, log 16 = 1.2040
- 10. A fast moving superfast express crosses another pasenger train in 20 seconds. The speed of faster train is 72 km/hr and speeds of slower train is 27 km/h. Also the length of faster ntrain is 100m, then find the length of the slower train if they are moving in the same direction.
Options- A. 100 m
- B. 125 m
- C. 150 m
- D. 175 m Discuss
Correct Answer: 150 m
Explanation:
X=150m
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