the characteristics of log 0.00562
Answers
Step-by-step explanation:
How do we find the characteristic value in a log?
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Short answer: the characteristic is the exponent when the number is written in scientific notation
The base-ten logarithm (the “log”) of a number is composed of two parts: the characteristic and the mantissa.
For example:
The base-ten logarithm (the “log”) of 3 is 0.4771
Here the characteristic is zero (the part to the left of the decimal point) and the mantissa is .4771
The mantissa is the part to the right of the decimal point, you look it up in a table, or your computer looks it up in a table.
The characteristic is the number to the left of the decimal point
Now, when you multiply two numbers, you add the logs. The log of 10 is 1, so
The log of 30 (= 3 x 10) is 1.4771
The log of 300 (= 3 x 10 x 10) is 2.4771 etc.
But what if the number is less than 1? What is the log of 0.3?
That is 3 x 10^-1
The characteristic is -1
the log of 0.3 = 0.4771 - 1 = -0.5229
the log of 0.03 = -1.5229 and the characteristic is -2.
You also can say that the log is the sum of the characteristic and the mantissa.
The log of a number less than 1 is negative.
There are no logs of negative numbers.
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