what error in the common logarithm of a number will be produced by an error of 1 % in the number
Answers
Answer:
The nucleoid (meaning nucleus-like) is an irregularly shaped region within the prokaryotic cell that contains all or most of the genetic material.[1][2][3] The chromosome of a prokaryote is circular, and its length is very large compared to the cell dimensions needing it to be compacted in order to fit. In contrast to the nucleus of a eukaryotic cell, it is not surrounded by a nuclear membrane. Instead, the nucleoid forms by condensation and functional arrangement with the help of chromosomal architectural proteins and RNA molecules as well as DNA supercoiling. The length of a genome widely varies (generally at least a few million base pairs) and a cell may contain multiple copies of it.
Given :
Error = 1%
To find :
What error in the common logarithm of a number will be produced by an error of 1 % in the number.
Solution :
Error = ±1%
Let original number be x
Considering Error = +1%
New number = x × (101 / 100)
log(101 / 100) = 0.004343 (approx.)
Considering Error = -1%
New number = x × (99 / 100)
log(99 / 100) = - 0.004343 (approx.)
- log(99 / 100) = 0.004343 (approx.)
Therefore,
log(101 / 100) = 0.004343 (approx.)
- log(99 / 100) = 0.004343 (approx.)