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This mock test of Test: Logarithm- 3 for CAT helps you for every CAT entrance exam.
This contains 15 Multiple Choice Questions for CAT Test: Logarithm- 3 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

If 3^{X+I} = 6^{log23} then x is

Solution:

QUESTION: 2

log_{5}P x log_{p} x = 2. What is the value of x?

Solution:

QUESTION: 3

If [N] = the greatest integer less than or equal to N, then [log_{10} 6730.4] is equal to

Solution:

QUESTION: 4

What is the number of zeros coming immediately after the decimal point in the value of (0.2)^{25} ? (log_{10}2 = 0.30103)

Solution:

QUESTION: 5

Find the value of log_{64}(l/16).

Solution:

QUESTION: 6

Arrange the following in an ascending order

Solution:

A = 4, B = 7/2, C = 6, D = 5

Arranging in ascending order: BADC

QUESTION: 7

What is the value of x if log_{3}x + log_{9}x + log_{27}x + log_{81}x = 25/4?

Solution:

QUESTION: 8

What is the value of x in the following expression: log_{2} ( 3 - x ) + log_{2} ( 1 - x ) = 3?

Solution:

Going through options.

Option (a) is not possible.

Checking option (c): Forx = -1, expression = log_{2}4 + log_{2}2 = log_{2}8 = 31og_{2}2 = 3

QUESTION: 9

What is the value of log_{3√3} 27 ?

Solution:

QUESTION: 10

What is the value of P if?

Solution:

QUESTION: 11

Solution:

QUESTION: 12

If x = log_{a} (bc), y = log_{4} (ca) and z = log_{c} (ab) when which of the following is equal to 1?

Solution:

QUESTION: 13

If log_{k} x.log_{5} k = 1 k ≠ 1.k > 0, then x is equal to

Solution:

QUESTION: 14

Solution:

QUESTION: 15

Solution:

### Logarithm Formula

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### Logarithm - Basics

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