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The antilog?

a log is an exponent, so as an antilog just means you reapply that exponent to the correct base. Log implies base 10, so antilog means use that number as an exponent of 10.

If you are using log tables, first separate the whole number part and the decimal part of the log ( they are both negative) then add -1 to the whole number part and +1 to the decimal part. (one is called the characteristic and the other is called the mantissa, but I don't remember which is which now) This creates a positive decimal that you can look up in the log table. The negative integer part becomes an exponent of 10. Put them together and you get an answer in scientific notation.

Ex: find antilog of -3.5

(-3 -1) + (-.5 + 1) ==> (-4) + (+.5)

look up .5 in the log tables and you get 3.1623 and the -4 becomes 10-4

Put them together by multiplying (adding logs means multiplication of antilogs)

to get the final answer 3.1623 x 10-4

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