CAT Exam  >  CAT Questions  >  If three positive real numbers a, b and c (c ... Start Learning for Free
If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:
(2010)
  • a)
    2 log (c – b)
  • b)
    2 log (a – c)
  • c)
    2 log (c – a)
  • d)
    log a + log b + log c
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If three positive real numbers a, b and c (c > a) are in Harmonic P...
Since a, b, c are in H.P.

Now log (a + c) + log (a – 2b + c)
= log [(a + c){(a + c) – 2b}]
= log [(a + c)2 – 2b (a + c)]
= log [(a + c)2 – 2 × 2ac]
= log (a – c)2 or log (c – a)2
= 2 log (a – c) or 2 log (c – a)
∴ log (a + c) + log (a – 2b + c) = 2 log (c – a)
Free Test
Community Answer
If three positive real numbers a, b and c (c > a) are in Harmonic P...
Since a, b, c are in H.P.

Now log (a + c) + log (a – 2b + c)
= log [(a + c){(a + c) – 2b}]
= log [(a + c)2 – 2b (a + c)]
= log [(a + c)2 – 2 × 2ac]
= log (a – c)2 or log (c – a)2
= 2 log (a – c) or 2 log (c – a)
∴ log (a + c) + log (a – 2b + c) = 2 log (c – a)
Explore Courses for CAT exam

Top Courses for CAT

If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer?
Question Description
If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If three positive real numbers a, b and c (c > a) are in Harmonic Progression, then log (a + c) + log (a – 2b + c) is equal to:(2010)a)2 log (c – b)b)2 log (a – c)c)2 log (c – a)d)log a + log b + log cCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev