Chapter 7 - Exponential and Logarithmic Functions - Chapter Test - Page 491: 26

$x=\dfrac{1}{100}$

Divide $2$ to both sides to obtain: $$\log{x}=-2$$ Recall: $\log{x}=n \longrightarrow 10^n=x$ Use the definition above to obtain: \begin{align*} \log{x}=-2 &\longrightarrow 10^{-2}=x \\\\ \frac{1}{10^2}&=x\\\\ \dfrac{1}{100}&=x \end{align*}