Surds, Indices and Logarithms

Logarithm properties, calculations, and equation solving

15 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

The value of log 256 to base 4 is

  1. 4
  2. 16
  3. 5
  4. 9
  5. None of these
Question 2 Multiple Choice (Single Answer)

The value of log 5 is (Given: log 2 = 0.3010)

  1. 0.6990
  2. 1.6990
  3. 0.3010
  4. 0.1555
  5. None of these
Question 3 Multiple Choice (Single Answer)

The value of log 0.00001 is

  1. - 2
  2. - 3
  3. - 5
  4. - 4
  5. None of these
Question 4 Multiple Choice (Single Answer)

The value of log 3125 to base 5 is

  1. 3
  2. 5
  3. 4
  4. 2
  5. None of these
Question 5 Multiple Choice (Single Answer)

The value of log 6 + log 5 is

  1. log 11
  2. log 30
  3. log 6/5
  4. log 5/6
  5. None of these
Question 6 Multiple Choice (Single Answer)

The value of log 72 is

  1. log 36 + log 36
  2. log 2 + log 144
  3. 2log 3 + 3log 2
  4. log 10
  5. None of these
Question 7 Multiple Choice (Single Answer)

If 3log x = 6log 3, then x is equal to

  1. 8
  2. 9
  3. 10
  4. 12
  5. None of these
Question 8 Multiple Choice (Single Answer)

If log a = x - y and log b = x + y, then log 10b/a^2 will be in terms of x and y as

  1. 1 - x + y
  2. 1 - x - y
  3. 1 + x - y
  4. - 1 + x + y
  5. None of these
Question 9 Multiple Choice (Single Answer)

Find the value of log 729 to base 3.

  1. 6
  2. 3
  3. 4
  4. 2.5
  5. None of these
Question 10 Multiple Choice (Single Answer)

The value of log ab + log bc + log ca - log abc is

  1. log abc
  2. log ab^2 c
  3. log a^2bc
  4. log abc^2
  5. None of these
Question 11 Multiple Choice (Single Answer)

log 18/6 equals

  1. log 18/log 6
  2. log 18 - log 6
  3. log 144
  4. log 18 + log 6
  5. None of these
Question 12 Multiple Choice (Single Answer)

logabca + logabcb + logabcc =

  1. 1
  2. 0
  3. 2
  4. 3
  5. None of these
Question 13 Multiple Choice (Single Answer)

The value of log 1/2 to base 8 is

  1. 1
  2. 2
  3. - 3
  4. - 4
  5. None of these
Question 14 Multiple Choice (Single Answer)

Solve for x if 2x = 3.

  1. 1.584
  2. 3
  3. 4
  4. 1
  5. None of these
Question 15 Multiple Choice (Single Answer)

The value of log 80 + log 20 - log 100 to base 2 is

  1. 1
  2. 5
  3. 3
  4. 4
  5. None of these