Evaluate log₁₀ 0.01

Let,

$\Rightarrow \text{log}_{10} \space (0.01) = x \\[1em] \Rightarrow 0.01 = 10^x \\[1em] \Rightarrow \dfrac{1}{100} = 10^x \\[1em] \Rightarrow \dfrac{1}{10^2} = 10^x \\[1em] \Rightarrow 10^{-2} = 10^x \\[1em] \Rightarrow x = -2.$

Hence, log₁₀ 0.01 = -2.