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Question

How we can find antilog( - 18.832 ) using log table

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Solution

Step 1 - Figure out Characteristic and Mantissa
-18.832 = -19 + 0.168
Characteristic = -19
Mantissa = 0.168
Note that Mantissa is always in positive so for negative numbers we need to take care of that.

Step 2 - Use the antilog table to find a corresponding value for your mantissa
In antilog table find a value corresponding to 0.16 row and 8 column, from this we get 1.472

Step 3 - Find out mean value corresponding to fourth digit after decimal place which is 0 here so no need to find out mean in this case

Step 4 - Write it into Scientific form
antilog(-18.832) = 1.472 * 10-19

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