It is a passive real number other than

We write

4 then we can write

then we can write

**Properties of logarithms**

Example so we can write

Example in logarithm form

Logarithms to the base 10 are known as common logarithms. When base is not mentioned it is taken as 10.

Characteristic – when the number is greater than 1 – the characteristic is one less from the number of digit in the left of the decimal point in the given number.

̅.41 = 3

When the number is less than 1 one more than the number of zero between the decimal point & the 1st significant digit of the number & it is negative.

0.518 = -1 0.0347 = etc.

Log table-