CA Foundation Exam > CA Foundation Questions > log 32/4 is equal to ________.a)log 32/log4b)...
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log 32/4 is equal to ________.
- a)log 32/log4
- b)log 32 – log4
- c)2³
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
log 32/4 is equal to ________.a)log 32/log4b)log 32 – log4c)2...
Solution:
We know that log (a/b) = log a - log b
So, log 32/4 = log 32 - log 4
Now, we know that log (a^n) = n log a
So, log 32 = log (2^5) = 5 log 2
And, log 4 = log (2^2) = 2 log 2
Substituting these values in our equation, we get:
log 32/4 = 5 log 2 - 2 log 2
log 32/4 = 3 log 2
Therefore, the correct answer is option B: log 32/log 4.
We know that log (a/b) = log a - log b
So, log 32/4 = log 32 - log 4
Now, we know that log (a^n) = n log a
So, log 32 = log (2^5) = 5 log 2
And, log 4 = log (2^2) = 2 log 2
Substituting these values in our equation, we get:
log 32/4 = 5 log 2 - 2 log 2
log 32/4 = 3 log 2
Therefore, the correct answer is option B: log 32/log 4.
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Community Answer
log 32/4 is equal to ________.a)log 32/log4b)log 32 – log4c)2...
Because according to law loga/b =log a-logb for eg log 8/9= log 8 - log 9
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log 32/4 is equal to ________.a)log 32/log4b)log 32 – log4c)2³d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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