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Quantitative Aptitude

LOGARITHM MCQs

Logarithms

Total Questions : 289 | Page 1 of 29 pages
Question 1.

Find the value of log2  16 ?

  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option B. -> 4
Question 2.

If logx  4 = 0.4 ,  find then the value of x ?

  1.    4
  2.    16
  3.    32
  4.    48
 Discuss Question
Answer: Option C. -> 32
Question 3.

If logx  y = 100 and  log2  x = 10 , find then the value of  y .

  1.    210
  2.    2100
  3.    21000
  4.    210000
 Discuss Question
Answer: Option C. -> 21000
Question 4.

solve : \(frac{log \sqrt{8}}{log 8}\)

  1.    1
  2.    \(\frac{1}{2}\)
  3.    2
  4.    \(\frac{3}{2}\)
 Discuss Question
Answer: Option B. -> \(\frac{1}{2}\)
Question 5.

If ax   =  by , then : 

  1.    \(\frac{log a}{log b}=\frac{y}{x}\)
  2.    \(\frac{log a}{log b}=\frac{x}{y}\)
  3.    \(log\frac{ a}{ b}=\frac{x}{y}\)
  4.    none of these
 Discuss Question
Answer: Option A. -> \(\frac{log a}{log b}=\frac{y}{x}\)
Question 6.

Find  the value of    2 log10  5 + log 10 8 – \(\frac{ 1}{ 2}\) log10 4

  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option A. -> 2
Question 7.

Solve  loga (ab) = x , then find logb (ab)

  1.    \(\frac{ x}{ 1+ x}\)
  2.    \(\frac{ x}{ x + 1}\)
  3.    \(\frac{ x}{ 1 - x}\)
  4.    \(\frac{ x}{ x - 1}\)
 Discuss Question
Answer: Option D. -> \(\frac{ x}{ x - 1}\)
Question 8.

If log 2 = x , log 3 = y and log 7 = z , then find the value of log \(\left(4\times\sqrt[3]{63}\right)\)

  1.    \(2x +\frac{2}{3}y +\frac{1}{3}z \)
  2.    \(2x +\frac{2}{3}y -\frac{1}{3}z \)
  3.    \(2x -\frac{2}{3}y +\frac{1}{3}z \)
  4.    \(-2x +\frac{2}{3}y +\frac{1}{3}z \)
 Discuss Question
Answer: Option A. -> \(2x +\frac{2}{3}y +\frac{1}{3}z \)
Question 9.

If log12  27 = a ,  then find log6 16  .

  1.    \(\frac{3 - a}{4(3 - a)}\)
  2.    \(\frac{3 +a}{4(3 - a)}\)
  3.    \(\frac{4(3 - a)}{(3 - a)}\)
  4.    none of these
 Discuss Question
Answer: Option C. -> \(\frac{4(3 - a)}{(3 - a)}\)
Question 10.

If log 10 5 + log10 ( 5x + 1 ) = log10 ( x + 5 ) + 1 , then find the value of  x .

  1.    1
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option C. -> 3

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