how to use log table

Asked by devsingh71 | 26th Jun, 2014, 08:40: PM

Expert Answer:

The logarithm of a number is the exponent to which another fixed value, the base must be raised to produce that number.

To simplify difficult calculations, logarithms is a good tool.

These tables listed the values of logb(x) and bx for any number x in a certain range, at a certain precision, for a certain base b (usually b = 10).

For example, 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

Observe the following screen shot.

Answered by Vimala Ramamurthy | 27th Jun, 2014, 11:32: AM