Question

Find the mantissa of the logarithm of the number $0.002359$.

• A. $3710$
• B. $3718$
• C. $3728$
• D. $3742$

Answer 1

The correct option is C $3728$

We have to find $\log \left(0.002359\right)$

Firstly, we will write $0.002359$ in standard form.

So, $0.002359=2.359\times {10}^{-3}$

Here, characteristic is -3.

To find the mantissa of $\log \left(0.002359\right)$, we first look in the row starting with 23. In this row, look at the number in the column headed by 5. The number is 3711.

Now, move to the column of mean differences and look under the column headed by 9 in the row corresponding to 23. We see the number 17 here.

Add this number to 3711. We get the number 3728. This is the required mantissa of $\log \left(0.002359\right)$.

Mantissa of $\log 23.598$, $\log 2.3598$ and 0.023598 is the same (only characteristics are different).