# Surds and Indices MCQs - Math Test 6

MCQ. Logarithm to base 1⁄2 of 16 is:

- 4.
- 5.
- -5.
- -4.

D

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

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

B

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

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

C

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

- y × (logarithm of x).
- x × (logarithm of y).
- (logarithm of 'x') × (logarithm of 'y').
- None of above.

A

MCQ. Logarithm of (a^{3})(b^{2})?c is:

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

B