# Surds and Indices MCQs - Math Test 6

MCQ. Logarithm to the base 1⁄2 of 16 is:

- 4
- 5
- -5
- -4

D

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

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

B

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

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

C

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

- y × (logarithm of x)
- x × (logarithm of y)
- (logarithm of 'x') × (logarithm of 'y')
- None of the 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