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Quantitative Aptitude

LOGARITHM MCQs

Logarithms

Total Questions : 289 | Page 6 of 29 pages
Question 51. Determine the value of $${\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)$$   is = ?
  1.    2
  2.    -2
  3.    $$\sqrt 2 $$
  4.    $$\sqrt 3 $$
 Discuss Question
Answer: Option B. -> -2
Question 52. The value of $${\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)$$   is = ?
  1.    $$\frac{1}{4}$$
  2.    $$ - \frac{1}{4}$$
  3.    $$ - 4$$
  4.    $$4$$
 Discuss Question
Answer: Option C. -> $$ - 4$$
Question 53. What is the value of $${\left[ {{\text{lo}}{{\text{g}}_{10}}\left( {{\text{5lo}}{{\text{g}}_{10}}100} \right)\,} \right]^2}$$     = ?
  1.    1
  2.    2
  3.    10
  4.    25
 Discuss Question
Answer: Option A. -> 1
Question 54. If $${\text{lo}}{{\text{g}}_8}{\text{p}} = 25$$   and $${\text{lo}}{{\text{g}}_2}{\text{q}} = 5,$$   then -
  1.    p = q15
  2.    p2 = q3
  3.    p = q5
  4.    p3 = q
 Discuss Question
Answer: Option A. -> p = q15
Question 55. If $${\log _{10000}}x = - \frac{1}{4}{\text{,}}$$    then the value of x is = ?
  1.    $$\frac{1}{{10}}$$
  2.    $$\frac{1}{{100}}$$
  3.    $$\frac{1}{{1000}}$$
  4.    $$\frac{1}{{10000}}$$
 Discuss Question
Answer: Option A. -> $$\frac{1}{{10}}$$
Question 56. $$\frac{{\log \sqrt 8 }}{{\log 8}}\,\,{\text{is equal to = ?}}$$
  1.    $$\frac{1}{{\sqrt 8 }}$$
  2.    $$\frac{1}{4}$$
  3.    $$\frac{1}{2}$$
  4.    $$\frac{1}{8}$$
 Discuss Question
Answer: Option C. -> $$\frac{1}{2}$$
Question 57. The value of $$\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}$$   is equal to -
  1.    0
  2.    1
  3.    2
  4.    3
 Discuss Question
Answer: Option D. -> 3
Question 58. What is the value of the following expression?
$$\log \left( {\frac{9}{{14}}} \right) - $$   $$\log \left( {\frac{{15}}{{16}}} \right) + $$   $$\log \left( {\frac{{35}}{{24}}} \right)$$
  1.    0
  2.    1
  3.    2
  4.    3
 Discuss Question
Answer: Option A. -> 0
Question 59. If $${\log _2}\left[ {{{\log }_3}\left( {{{\log }_2}x} \right)} \right] = 1,$$     then x is equal to = ?
  1.    0
  2.    12
  3.    128
  4.    512
 Discuss Question
Answer: Option D. -> 512
Question 60. $$2{\log _{10}}^5 + $$  $${\log _{10}}8 \,- $$  $$\frac{1}{2}{\log _{10}}4$$   = ?
  1.    2
  2.    4
  3.    $${\text{2 - 2 lo}}{{\text{g}}_{10}}^2$$
  4.    $${\text{4 - 4 lo}}{{\text{g}}_{10}}^2$$
 Discuss Question
Answer: Option A. -> 2

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