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This mock test of Test: Logarithm- 4 for CAT helps you for every CAT entrance exam.
This contains 15 Multiple Choice Questions for CAT Test: Logarithm- 4 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

If log_{4} 5 = a and log_{5} 6 = b then what is the value of log_{3} 2?

Solution:

QUESTION: 2

If 2 [log (x + y) - log 5] = logx + logy, then what is the value of x^{2} + y^{2}?

Solution:

QUESTION: 3

Solution:

QUESTION: 4

Solution:

QUESTION: 5

What is the value of log_{3}2.log_{4}3.log_{5}4...log_{16}15?

Solution:

QUESTION: 6

log 32700 = ?

Solution:

Log 32700 = log 3.27 + log 10000 = log 3.27 + 4

QUESTION: 7

If log_{10}2 = .301 find log_{10}125.

Solution:

log_{10} 125 = log_{10}( 1000/8) = log. 1000 - 31og_{2} = 3 - 3 x 0.301 = 2.097

QUESTION: 8

log_{15}3375 x log_{4}1024 = ?

Solution:

log_{15}3375 x Log_{4}1024 = 3 log_{15}1 5 x 5 log_{4} 4 = 3 x 5 = 15.

QUESTION: 9

log_{625} √5 = ?

Solution:

1/2 log_{625} 5 = [1/(2 x 4)] log_{5}5 = 1/8.

QUESTION: 10

3 log 5 + 2 log 4 - log 2 = ?

Solution:

3 log 5 + 2 log 4 - log 2

= log 125 + log 16 - log 2

= log (125 x 16)/2

= log 1000 = 3.

QUESTION: 11

log (12 - x) = -1

Solution:

1/10 = 12 - x => x = 11.9

QUESTION: 12

log 2^{X} = 3

Solution:

x log 2 = 3

log 2 = 3/x.

Therefore, x = 3/log 2

QUESTION: 13

5^{X} = 10

Solution:

x = log_{5}10 = l/log_{10}5 = 1/log 5.

QUESTION: 14

find x If log x = log7.2 - log 2.4

Solution:

log x = log (7.2/2.4) = log 3 ⇒ x = 3

QUESTION: 15

Find x if logx =2 log 5 + 3 log 2

Solution:

log x = log 25 + log 8 = log (25 x 8 ) = log 200.

### Logarithm Formula

Doc | 1 Page

### Logarithm 002

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### Logarithm - Basics

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- Test: Logarithm- 4
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