Question

How do you solve $\log x=-2$?

Answer 1

Solve for the value of $x$

As there is no base noted in subscript to the right of the log, so assume logarithm is base 10 and it can convert directly to exponential form.

$\log x=-2$

$\Rightarrow$ $x={10}^{-2}$ $...\left[\because {\log }_a\left(b\right)=x\Rightarrow b=a^x\right]$

$$\begin{gathered} x=\frac{1}{100} \\ x=0.01 \end{gathered}$$

Hence, the value of $x$ is $0.01$