Answer:

Logarithm is broken up into two parts.

The first part is the integral part the the rest is the fractional part WHICH MUST BE POSITIVE.

The integral part takes care of the number of decimal places of the original number.

For example, In log(8432) = 3. 9259, 3 means the original number (ie. 8432) has 3 + 1 digits. Then, (bar 2). 7563 means -2 + 0.7563 = -1.2437

But -1.2437 means -1 – 0.2437 which is not an allowable format of a logarithm.

Therefore, we have to re-write as

– 1 – 0.2437 = – 1 – 0.2437 + 1 – 1

= –1 – 1 + 1 – 0.2437

= – 2 + (1 – 0.2437)

= - 2 + 0.7563

= (bar2. 7563