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Test: Logarithm- 4


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15 Questions MCQ Test Quantitative Aptitude (Quant) | Test: Logarithm- 4

Test: Logarithm- 4 for CAT 2022 is part of Quantitative Aptitude (Quant) preparation. The Test: Logarithm- 4 questions and answers have been prepared according to the CAT exam syllabus.The Test: Logarithm- 4 MCQs are made for CAT 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Logarithm- 4 below.
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Test: Logarithm- 4 - Question 1

If log4 5 = a and log5 6 = b then what is the value of log3 2?

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Test: Logarithm- 4 - Question 2

If 2 [log (x + y) - log 5] = logx + logy, then what is the value of x2 + y2?

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Test: Logarithm- 4 - Question 3

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Test: Logarithm- 4 - Question 4

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Test: Logarithm- 4 - Question 5

What is the value of  log32.log43.log54...log1615?

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Test: Logarithm- 4 - Question 6

log 32700 = ? 

Detailed Solution for Test: Logarithm- 4 - Question 6

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

Test: Logarithm- 4 - Question 7

If log102 = .301 find log10125.

Detailed Solution for Test: Logarithm- 4 - Question 7

log10 125 = log10( 1000/8) = log. 1000 - 31og2 = 3 - 3 x 0.301 = 2.097

Test: Logarithm- 4 - Question 8

log153375 x log41024 = ?

Detailed Solution for Test: Logarithm- 4 - Question 8

log153375 x Log41024 = 3 log151 5 x 5 log4 4 = 3 x 5 = 15.

Test: Logarithm- 4 - Question 9

log625 √5 = ?

Detailed Solution for Test: Logarithm- 4 - Question 9

1/2 log625 5 = [1/(2 x 4)] log55 = 1/8.

Test: Logarithm- 4 - Question 10

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

Detailed Solution for Test: Logarithm- 4 - Question 10

3 log 5 + 2 log 4 - log 2

= log 125 + log 16 - log 2

= log (125 x 16)/2

= log 1000 = 3.

Test: Logarithm- 4 - Question 11

log (12 - x) = -1 

Detailed Solution for Test: Logarithm- 4 - Question 11

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

Test: Logarithm- 4 - Question 12

log 2X = 3 

Detailed Solution for Test: Logarithm- 4 - Question 12

x log 2 = 3

log 2 = 3/x.
Therefore, x = 3/log 2

Test: Logarithm- 4 - Question 13

5X = 10 

Detailed Solution for Test: Logarithm- 4 - Question 13

x = log510 = l/log105 = 1/log 5.

Test: Logarithm- 4 - Question 14

 find x If log x = log7.2 - log 2.4

Detailed Solution for Test: Logarithm- 4 - Question 14

log x = log (7.2/2.4) = log 3 ⇒ x = 3

Test: Logarithm- 4 - Question 15

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

Detailed Solution for Test: Logarithm- 4 - Question 15

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

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