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CAT Exam  >  CAT Tests  >  Quantitative Aptitude (Quant)  >  Test: Logarithm- 4 - CAT MCQ

Test: Logarithm- 4 - CAT MCQ


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

Test: Logarithm- 4 for CAT 2024 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 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Logarithm- 4 below.
Solutions of Test: Logarithm- 4 questions in English are available as part of our Quantitative Aptitude (Quant) for CAT & Test: Logarithm- 4 solutions in Hindi for Quantitative Aptitude (Quant) course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test: Logarithm- 4 | 15 questions in 15 minutes | Mock test for CAT preparation | Free important questions MCQ to study Quantitative Aptitude (Quant) for CAT Exam | Download free PDF with solutions
Test: Logarithm- 4 - Question 1
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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
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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
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What is the value of  log32.log43.log54...log1615?
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Test: Logarithm- 4 - Question 6
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log 32700 = ? 
Detailed Solution for Test: Logarithm- 4 - Question 6
- To find log 32700, we can break it down using logarithmic properties.
- We can express 32700 as 3.27 * 10000.
- Using the property of logarithms that states log(a * b) = log a + log b, we have:
- log 32700 = log(3.27 * 10000) = log 3.27 + log 10000.
- Since log 10000 equals 4 (because 10000 is 10^4), we get:
- log 32700 = log 3.27 + 4.
- Therefore, the correct answer is option 1: log 3.27 + 4.
Test: Logarithm- 4 - Question 7
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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
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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
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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
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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
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log (12 - x) = -1 
Detailed Solution for Test: Logarithm- 4 - Question 11

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

Test: Logarithm- 4 - Question 12
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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
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5X = 10 
Detailed Solution for Test: Logarithm- 4 - Question 13

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

Test: Logarithm- 4 - Question 14
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 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
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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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