Please explain me with deriving step by step the concept of logarithm.

Asked by subhajit.690 | 5th Dec, 2016, 02:30: PM

Expert Answer:

Consider the number 567894.

Logarithms of the number 567894 = log(567894).

The number of digits in the given number is 6.

Therefore, the characteristic of the given number is 6 − 1 = 5.

Now, let us find the mantissa part of the number 567894.

From the table, find the row with n = 5.67.

Find the column 8; the number inside the cell is 0.754195

Now add the characteristic and mantissa.

Thus, log(567894) = 5 + 0.754195 = 5.754195.

Answered by Vijaykumar Wani | 6th Dec, 2016, 12:40: PM