Logarithms MCQ

Test your knowledge with important Logarithms MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Logarithms MCQs on Bissoy. Bissoy App

• If 5x - 17 = -x + 7, then x = ?
  ক

  4

  খ

  5

  গ

  7

  ঘ

  9
• If log 64 = 1.8061, then the value of log 16 will be (approx)?
  ক

  1.9048

  খ

  1.2040

  গ

  0.9840

  ঘ

  1.4521
• If log 2 = 0.3010 and log 3 = 0.4771, the values of log₅ 512 is
  ক

  2.875

  খ

  3.875

  গ

  4.875

  ঘ

  5.875
• If log 2 = 0.30103, Find the number of digits in 2⁵⁶ is
  ক

  17

  খ

  19

  গ

  23

  ঘ

  25
• What is the characteristic of the logarithm of 0.0000134?
  ক

  5

  খ

  -5

  গ

  6

  ঘ

  -6
• If log 27 = 1.431, then the value of log 9 is
  ক

  0.754

  খ

  0.854

  গ

  0.954

  ঘ

  0.654
• 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.
  ক

  100 m

  খ

  125 m

  গ

  150 m

  ঘ

  175 m
• What will be the value of y if log2(log2(log3(log2y))) = 1?
  ক

  281

  খ

  332

  গ

  83

  ঘ

  36
• What will be the value of p if log516, log5(3p – 4), log5(3p + 97 / 16) are in arithmetic progression?
  ক

  9

  খ

  4

  গ

  2

  ঘ

  3
• What will be the number of digits in 345?
  ক

  28

  খ

  21

  গ

  22

  ঘ

  23
• Which value of a would satisfy log5 + log (a + 5) = log (5a + 10) + 1?
  ক

  –1.66

  খ

  2.76

  গ

  –3.45

  ঘ

  –1.92
• What will be the value of log10 (1 / 500) if log105 = z?
  ক

  z – 4

  খ

  z3 / 5

  গ

  z – 3 / z

  ঘ

  –(z + 2)
• What will be the value log (8)1/3 / log (4)2?
  ক

  1 / 4

  খ

  1 / 8

  গ

  1 / 3

  ঘ

  1 / 6
• What will be the value of integer z if (log2z)2 – log2z4 – 32 = 0?
  ক

  256

  খ

  64

  গ

  16

  ঘ

  1024
• What will be the value of log385?
  ক

  9.863

  খ

  7.527

  গ

  9.463

  ঘ

  8.321
• Which of the following options is correct if 3 + log10a = 2 log10b?
  ক

  a = b2 / 1000

  খ

  a * b = 1000

  গ

  a = b / 500

  ঘ

  a = b3 / 100
• What will be the value of log2√31728?
  ক

  16

  খ

  6

  গ

  20

  ঘ

  8
• What will be the value of m if, log5 (m2 + m) – log5 (m + 1) = 2?
  ক

  16

  খ

  4

  গ

  25

  ঘ

  5
• What will be the value of 2log105 + log108 – (1 / 2) log104?
  ক

  2

  খ

  3

  গ

  4

  ঘ

  8
• Which value of z would satisfy 10z = 1.73 and log101730 = 3.2380?
  ক

  1.2380

  খ

  2.2380

  গ

  0.2380

  ঘ

  0.4567
• What will be the value of the expression log1664 – log6416?
  ক

  5 / 6

  খ

  6 / 5

  গ

  7 / 5

  ঘ

  6 / 7
• What will be the value of log– 1 / 232?
  ক

  5

  খ

  -5

  গ

  4

  ঘ

  -4
• What will be the value of log432 – log927?
  ক

  1

  খ

  4

  গ

  16

  ঘ

  9
• What would be the value of log24337 + log3228 – log361296?
  ক

  3

  খ

  2

  গ

  1

  ঘ

  7
• Provided log416 + log44 = z, then what is the value of z?
  ক

  3

  খ

  4

  গ

  8

  ঘ

  16
• Which value of z would satisfy the expression log27 (3log2 (1 + log3 (1 + 2log2z)) = 1 / 3?
  ক

  6

  খ

  3

  গ

  2

  ঘ

  5
• Which value of z would satisfy the expression log2401z = – (1 / 4)?
  ক

  1 / 7

  খ

  35000

  গ

  45000

  ঘ

  50000
• 6.Which of the following options is the correct depiction of log (8 * (147)1/3), if log2 = a, log3 = b and log7 = c?
  ক

  3a + (1 / 3) c + (3 / 4) b

  খ

  2a + (3 / 4) c + (1 / 6) b

  গ

  a + 2b + 3c

  ঘ

  3a + (2 / 3) c + (1 / 3) b
• Which value of p would satisfy ?
  ক

  ? ] 10

  খ

  log 2 + log (4p + 1) = log (p + 2) + 1

  গ

  log 2 + log (4p + 1) = log (p + 2) + 1

  ঘ

  log 2 + log (4p + 1) = log (p + 2) + 1
• If log√243a = 8 / 5, then what would be the true value of a from the options given below?
  ক

  81

  খ

  78

  গ

  64

  ঘ

  47