Surds, Indices and Logarithms
Logarithm properties, calculations, and equation solving
Questions
Question 1 Multiple Choice (Single Answer)
The value of log 256 to base 4 is
- 4
- 16
- 5
- 9
- None of these
Question 2 Multiple Choice (Single Answer)
The value of log 5 is (Given: log 2 = 0.3010)
- 0.6990
- 1.6990
- 0.3010
- 0.1555
- None of these
Question 3 Multiple Choice (Single Answer)
The value of log 0.00001 is
- - 2
- - 3
- - 5
- - 4
- None of these
Question 4 Multiple Choice (Single Answer)
The value of log 3125 to base 5 is
- 3
- 5
- 4
- 2
- None of these
Question 5 Multiple Choice (Single Answer)
The value of log 6 + log 5 is
- log 11
- log 30
- log 6/5
- log 5/6
- None of these
Question 6 Multiple Choice (Single Answer)
The value of log 72 is
- log 36 + log 36
- log 2 + log 144
- 2log 3 + 3log 2
- log 10
- None of these
Question 7 Multiple Choice (Single Answer)
If 3log x = 6log 3, then x is equal to
- 8
- 9
- 10
- 12
- 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 - x + y
- 1 - x - y
- 1 + x - y
- - 1 + x + y
- None of these
Question 9 Multiple Choice (Single Answer)
Find the value of log 729 to base 3.
- 6
- 3
- 4
- 2.5
- None of these
Question 10 Multiple Choice (Single Answer)
The value of log ab + log bc + log ca - log abc is
- log abc
- log ab^2 c
- log a^2bc
- log abc^2
- None of these
Question 11 Multiple Choice (Single Answer)
log 18/6 equals
- log 18/log 6
- log 18 - log 6
- log 144
- log 18 + log 6
- None of these
Question 12 Multiple Choice (Single Answer)
logabca + logabcb + logabcc =
- 1
- 0
- 2
- 3
- None of these
Question 13 Multiple Choice (Single Answer)
The value of log 1/2 to base 8 is
- 1
- 2
- - 3
- - 4
- None of these
Question 14 Multiple Choice (Single Answer)
Solve for x if 2x = 3.
- 1.584
- 3
- 4
- 1
- None of these
Question 15 Multiple Choice (Single Answer)
The value of log 80 + log 20 - log 100 to base 2 is
- 1
- 5
- 3
- 4
- None of these