Question

What is the value of $\log \left(\frac{1}{2}\right)$?

Answer 1

Find the value of $\log \left(\frac{1}{2}\right)$.

$\begin{array}{rcl}\log \left(\frac{1}{2}\right)& =& \log \left(1\right)-\log \left(2\right)\left\{\because \log \left(\frac{a}{b}\right)=\log \left(a\right)-\log \left(b\right)\right\}\\ & =& 0-0.3010\\ & =& -0.3010\end{array}$

Hence, the value of $\begin{array}{l}\log \left(\frac{1}{2}\right)\end{array}$ is $-0.3010$.