Question

Use logarithm table to find the logarithm of the following numbers:
$25795$

Answer 1

We have to find $\log 25795$

Firstly, we will write $25795$ in standard form $2.5795\times {10}^4$

So, the characteristic of the logarithm of 25795 is 4.

To find the mantissa of the logarithm of 25795, we take the first four digits.
The number formed by the first four digits is 2579.

Now, we look in the row starting with 25. In this row, look at the number in the column headed by 7. The number is 4099.

Now, move to the column of mean differences and look under the column headed by 9 in the row corresponding to 25. We see that the number there is 15.

Add this number to 4099. We get the number 4114. This is the required
mantissa.

Hence, $\log \left(25795\right)=4.4114$
Ans: 4.4114