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Surds, Indices and Logarithms

Description: logrithms
Number of Questions: 15
Created by:
Tags: Mock Test Numerical Ability Surds, Indices and Logarithms
Attempted 0/15 Correct 0 Score 0

The value of log 256 to base 4 is

  1. 4

  2. 16

  3. 5

  4. 9

  5. None of these


Correct Option: A
Explanation:

When ab = c, then b = log c to base a

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


Correct Option: A
Explanation:

Use formula: log ab = log a+logb and log 10 = 1 = 0.6990

The value of log 0.00001 is

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


Correct Option: C
Explanation:

By definition of log, if ax = b, then x = log b to base a.

The value of log 3125 to base 5 is

  1. 3

  2. 5

  3. 4

  4. 2

  5. None of these


Correct Option: B
Explanation:

Use definition of log to get answer as 5.

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


Correct Option: B
Explanation:

 log a + log b = log ab

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


Correct Option: C
Explanation:

 72 = 3x3x2x2x2

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

  1. 8

  2. 9

  3. 10

  4. 12

  5. None of these


Correct Option: B
Explanation:

x = 9

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

    • 1 + x + y
  4. None of these


Correct Option: A
Explanation:

1 + x + y - 2x + 2y = 1 - x + y

Find the value of log 729 to base 3.

  1. 6

  2. 3

  3. 4

  4. 2.5

  5. None of these


Correct Option: A
Explanation:

3 power 6 = 729

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


Correct Option: A
Explanation:

log ab+log bc+log ca -log abc = log a^2b^2c^2/abc = log abc

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


Correct Option: B
Explanation:

log (a/b) = log a-log b

logabca + logabcb + logabcc =

  1. 1

  2. 0

  3. 2

  4. 3

  5. None of these


Correct Option: A
Explanation:

log abc to base abc = 1

The value of log 1/2 to base 8 is

  1. 1

  2. 2

    • 3
    • 4
  3. None of these


Correct Option: C
Explanation:

Right answer

Solve for x if 2x = 3.

  1. 1.584

  2. 3

  3. 4

  4. 1

  5. None of these


Correct Option: A
Explanation:

Right 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


Correct Option: D
Explanation:

Use the formula: log a + log b - log c = log ab/c log 80 + log 20 - log 100 = log 16 to base 2

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