Surds and Indices MCQs - Math Test 6

MCQ. Logarithm to base 1⁄2 of 16 is:

  1. 4.
  2. 5.
  3. -5.
  4. -4.

D

MCQ. Logarithm to base 'x' of 'yz' is equal to:

  1. (logarithm to base 'x' of 'y') × (logarithm to base 'x' of 'z').
  2. (logarithm to base 'x' of 'y') + (logarithm to base 'x' of 'z').
  3. (logarithm to base 'x' of 'y') - (logarithm to base 'x' of 'z').
  4. None of above.

B

MCQ. Logarithm to base 'x' of 'y⁄z' is equal to:

  1. (logarithm to base 'x' of 'y') × (logarithm to base 'x' of 'z').
  2. (logarithm to base 'x' of 'y') + (logarithm to base 'x' of 'z').
  3. (logarithm to base 'x' of 'y') - (logarithm to base 'x' of 'z').
  4. None of above.

C

MCQ. Logarithm of 'x' to power 'y' is equal to:

  1. y × (logarithm of x).
  2. x × (logarithm of y).
  3. (logarithm of 'x') × (logarithm of 'y').
  4. None of above.

A

MCQ. Logarithm of (a3)(b2)?c is:

  1. 3(logarithm of 'a') - 2(logarithm of 'b') - (1⁄2)(logarithm of 'c').
  2. 3(logarithm of 'a') + 2(logarithm of 'b') + (1⁄2)(logarithm of 'c').
  3. 3(logarithm of 'a') + 2(logarithm of 'b') + (logarithm of 'c').
  4. 3(logarithm of 'a') - 2(logarithm of 'b') - (logarithm of 'c').

B

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