Question

Using the antilog table given below, find out the antilog of $2.0234$.

Answer 1

We have to find the antilog of $2.0234$.

$\Rightarrow {10}^{2.0234}$

$\Rightarrow {10}^2{.10}^{0.0234}$

Now take the first two digits after the decimal, i.e., $02$.

Go to the corresponding row and the find the cell corresponding to the column with the third digit of the decimal i.e., $3$.

The value in that cell is $1054$.

Now go to the corresponding fourth digit in the mean difference table i.e., $4$.

The value is $1$.

Now add $1054$ and $1$.

$\Rightarrow 1054+1=1055$

This should be written with a point such that there are $3$ decimal places.

$\Rightarrow 1.055$

Now this is the value of ${10}^{0.0234}$

Therefore the antilog of $2.0234={10}^2{.10}^{0.0234}={10}^2\times 1.055$

$\Rightarrow 105.5$