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  1. Ignoring the minus sign, separate the number into the whole number part and the decimal part.
  2. Add 1 to the whole number part
  3. Subtract the decimal part from 1.
  4. Look up the result of step 3 in the [anti-]log table
  5. Divide the result of step 4 by the base to the power of the number found in step 2.

Due to step 5, it is better to work with common logs (logs to base 10) when using log tables.

Example:

Find the anti-log to base 10 of -2.123:

  1. -2.123 separates out into 2 and 0.123
  2. 2 becomes 2 + 1 = 3
  3. 0.123 becomes 1 - 0.123 = 0.877
  4. Look up 0.877 → 7.53
  5. 7.53 ÷ 103 = 0.00753

→ anti-log to base 10 of -2.123 is [approx] 0.00753

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Q: How do you find antilog of a negative number using a log table?
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