Question

Solve : $-\log (4.6\times {10}^{-5})$

Answer 1

Let $a=-\log \left(4.6\times {10}^{-5}\right)$

$=-\log \left(46\times {10}^{-6}\right)$

$=-\left[\log \right(46)+\log ({10}^{-6}\left)\right]$

We know that, $n{\log }_{a}b={\log }_a{b}^n$

$=-\left[\log \right(46)-6]$

$=-[1.66-6]$

$a=5.44$