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.
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
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