Quant Exam > Quant Questions > If log(64)= 1.806, log(16) = ?a)1.204b)0.903c...
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If log(64)= 1.806, log(16) = ?
- a)1.204
- b)0.903
- c)1.806
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If log(64)= 1.806, log(16) = ?a)1.204b)0.903c)1.806d)None of theseCorr...
log(64)= 1.806
=> log(4^3) = 1.806
=> 3log(4) = 1.806
⇒log(4) = 1.806/3
log(16) = log (4^2) = 2log(4) = 2*1.806/3 = 2*0.062 = 1.204
Most Upvoted Answer
If log(64)= 1.806, log(16) = ?a)1.204b)0.903c)1.806d)None of theseCorr...
Solution:
Given, log(64) = 1.806
To find, log(16) = ?
We know that 64 = 4^3 and 16 = 4^2
So, log(64) = 3 log(4) and log(16) = 2 log(4)
We can write log(64) = 1.806 as 3 log(4) = 1.806
Dividing both sides by 3, we get log(4) = 0.602
Substituting this value in log(16) = 2 log(4), we get
log(16) = 2(0.602) = 1.204
Therefore, the correct answer is option A) 1.204.
Given, log(64) = 1.806
To find, log(16) = ?
We know that 64 = 4^3 and 16 = 4^2
So, log(64) = 3 log(4) and log(16) = 2 log(4)
We can write log(64) = 1.806 as 3 log(4) = 1.806
Dividing both sides by 3, we get log(4) = 0.602
Substituting this value in log(16) = 2 log(4), we get
log(16) = 2(0.602) = 1.204
Therefore, the correct answer is option A) 1.204.
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If log(64)= 1.806, log(16) = ?a)1.204b)0.903c)1.806d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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