Question

Find the value with the help of logarithm tables:
$89÷48.5$

Answer 1

let $x=89÷48.5$

Taking $\log$ both sides, we have

$\log x=\log \left(\frac{89}{48.5}\right)$

$\log x=\log 89-\log 48.5(\because \log \left(\frac{a}{b}\right)=\log a-\log b)$

Using log table, we get

$\log 89=1.95$

$\log 48.5=1.68$

Therefore,

$\log x=1.95-1.68$

$\Rightarrow x=\text{Antilog}\left(0.27\right)=1.86$

Therefore,

$89÷48.5\approx 1.86$