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 4 of 6.
VISITHRA.S said:
8 years ago
How 19+1 came? Explain.
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.
Ranjeet said:
8 years ago
Nice explanation @Vicky.
D. Triveni said:
7 years ago
Answer is 19.2 we go for 19 only but we go for 20.
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.
Shripad Maddi said:
7 years ago
Well said @Vicky.
Paul said:
7 years ago
What does it mean : Its characteristic is 19?
M_Khunte said:
7 years ago
Can anyone explain me the answer of this question?
Subhasmita Sahoo said:
7 years ago
@Eswara Rao.
Why adding 1 with 19?
Why adding 1 with 19?
KOKKI said:
7 years ago
@All.
A logarithm consists of two parts:-.
1. The integral part called the characteristic and.
2. The decimal part called the mantissa.
It's a rule that to find a number of digits of any log, we just have to add 1 to the characteristic of the log.
For example, 2^64.
Log 2^64= 64*log 2.
=64* (0.301).
=19.2.
In this case, 19 is the characteristic.
So a number of digits is= 19+1.
=20.
Hence answer=20.
A logarithm consists of two parts:-.
1. The integral part called the characteristic and.
2. The decimal part called the mantissa.
It's a rule that to find a number of digits of any log, we just have to add 1 to the characteristic of the log.
For example, 2^64.
Log 2^64= 64*log 2.
=64* (0.301).
=19.2.
In this case, 19 is the characteristic.
So a number of digits is= 19+1.
=20.
Hence answer=20.
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