how to find value of antilog
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Separate the characteristic and the mantissa.Consider the number under observation. The characteristic is the part that comes before the decimal point; the mantissa is the part that comes after the decimal point. Antilog tables are arranged with respect to these parameters, so you need to separate them.
Use the antilog table to find a corresponding value for your mantissa. Antilog tables are easily available; you may have one in the back of your mathematics textbook. Open the table and look for the row number consisting of the first two digits of the mantissa. Then find the column number equal to the third digit of the mantissa.
Find the value from the mean difference columns.The antilog table also includes a set of columns known as “mean difference columns.” Look at the same row as before (the row corresponding to the first two digits of your mantissa), but this time, find the column number equal to the fourth digit of the mantissa.
Add the values obtained in the previous steps.Once you have these values, the next step is to add them together.
Insert the decimal point. The decimal point always goes in a specific designated place: after the number of digits that corresponds to the characteristic plus 1.
Consider your number and its parts. For whatever number you are observing, the characteristic is the part that comes before the decimal point; the mantissa is the part that comes after the decimal point.
Know the base. The mathematical log operator has a parameter known as the base. For numerical computations, the base is always 10.
Calculate the 10x. By definition, the antilog of any given number x is the basex. Recall that the base for your antilog is always 10; x is the number with which you are working. If the mantissa of the number is 0 (in other words, if the number under observation is a whole number, with no decimal point), the computation is easy: simply multiply 10 times 10 that number of times. If the number is not an even whole, use a computer or calculate to compute 10x.
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Use the antilog table to find a corresponding value for your mantissa. Antilog tables are easily available; you may have one in the back of your mathematics textbook. Open the table and look for the row number consisting of the first two digits of the mantissa. Then find the column number equal to the third digit of the mantissa.
Find the value from the mean difference columns.The antilog table also includes a set of columns known as “mean difference columns.” Look at the same row as before (the row corresponding to the first two digits of your mantissa), but this time, find the column number equal to the fourth digit of the mantissa.
Add the values obtained in the previous steps.Once you have these values, the next step is to add them together.
Insert the decimal point. The decimal point always goes in a specific designated place: after the number of digits that corresponds to the characteristic plus 1.
Consider your number and its parts. For whatever number you are observing, the characteristic is the part that comes before the decimal point; the mantissa is the part that comes after the decimal point.
Know the base. The mathematical log operator has a parameter known as the base. For numerical computations, the base is always 10.
Calculate the 10x. By definition, the antilog of any given number x is the basex. Recall that the base for your antilog is always 10; x is the number with which you are working. If the mantissa of the number is 0 (in other words, if the number under observation is a whole number, with no decimal point), the computation is easy: simply multiply 10 times 10 that number of times. If the number is not an even whole, use a computer or calculate to compute 10x.
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Method 1 Using an Antilog Table
1.Separate the characteristic and the mantissa.
Consider the number under observation.
2.Use the antilog table to find a corresponding value for your mantissa.
3.Find the value from the mean difference columns.
4.Add the values obtained in the previous steps.
5.Insert the decimal point.
I hope it will help you...
1.Separate the characteristic and the mantissa.
Consider the number under observation.
2.Use the antilog table to find a corresponding value for your mantissa.
3.Find the value from the mean difference columns.
4.Add the values obtained in the previous steps.
5.Insert the decimal point.
I hope it will help you...
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