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Chapter 2: Problem 3

Characteristic of \(\log 0.5828\) is (a) \(-2\) (b) 1 (c) \(\overline{2}\) (d) \(\bar{I}\)

Short Answer

Expert verified
(b) 1

Step by step solution

01

Knowing the Characteristic

The characteristic of a number in logarithm is the integral part of a logarithm. A characteristic of a positive integer is always one less than the number of digits in it. For any number between 0 and 1, the characteristic is given by -m where m is the number of zeros between the decimal and the first non-zero digit.
02

Identify the Given Number

The given number is 0.5828, which is less than 1. And there are no zeros between the decimal and the first non-zero digit.
03

Calculating the Characteristic

Using the rule for any number between 0 and 1, the characteristic is -m where m is the number of zeros between the decimal and the first non-zero digit. In case of 0.5828, m=0. So, the characteristic would be -0.

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