Aptitude - Logarithm - Discussion
Discussion Forum : Logarithm - General Questions (Q.No. 11)
11.
If log 2 = 0.30103, the number of digits in 264 is:
Answer: Option
Explanation:
| log (264) | = 64 x log 2 |
| = (64 x 0.30103) | |
| = 19.26592 |
Its characteristic is 19.
Hence, then number of digits in 264 is 20.
Discussion:
59 comments Page 2 of 6.
M_Khunte said:
7 years ago
Can anyone explain me the answer of this question?
Paul said:
7 years ago
What does it mean : Its characteristic is 19?
Shripad Maddi said:
7 years ago
Well said @Vicky.
Manikanta Bonam said:
7 years ago
Hai.
If we elaborated 2^64, the result will be 18, 446, 744, 073, 709, 551, 616 which is exactly a 20 digit number.
But here the problem is that it will consume too much time for the calculation part.
It would be appreciative if someone tried to solve in a simple form.
Thank you.
If we elaborated 2^64, the result will be 18, 446, 744, 073, 709, 551, 616 which is exactly a 20 digit number.
But here the problem is that it will consume too much time for the calculation part.
It would be appreciative if someone tried to solve in a simple form.
Thank you.
D. Triveni said:
7 years ago
Answer is 19.2 we go for 19 only but we go for 20.
Ranjeet said:
8 years ago
Nice explanation @Vicky.
Sai krishna said:
8 years ago
According to as given in important formulas when there are 2 digits in the left-hand side of decimal value of a logarithm the characteristic is added with 1 less than the no of digits.
so,
no of digs =2 so we should add 1.
hence total = 19+1.
i.e. 20.
so,
no of digs =2 so we should add 1.
hence total = 19+1.
i.e. 20.
Ravisankar said:
8 years ago
Please explain me.
S M said:
6 years ago
Good, Thanks @Vicky.
Pawan said:
6 years ago
Why we didn't solve like this?
log (2) ^64 as log (2) ^6 then 6*log (2) that is equal to 6*0.3010 = 1.806.
log (2) ^64 as log (2) ^6 then 6*log (2) that is equal to 6*0.3010 = 1.806.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers