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High School Mathematics
3.6 Characteristic and Mantissa of a Logarithm

Logarithms of numbers contain integral and decimal parts. The integral part of the logarithm of a number is called the characteristic and the decimal part is called mantissa.

If a number has 'n' digits the characteristic of its logarithm is 'n-1'.

log 3 = 0.4771.
In the above '0' is characteristic, and .4771 is mantissa.

Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: In log 2 = 0.3010, '0' is _________.

Q 2: In log 6 = 0.7782, '.7782 is __________.'

Q 3: In log 15 = 1.1761, '.1761' is ________.

Q 4: In log 18 = 1.2553, '1' is __________.

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