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An increase of 1 on the pH scale corresponds to an increase in acidity by a factor of 10.

A ratio of sound intensities of one billion corresponds to a difference of 90 decibels.

The second property of logs says that $\log \left(\dfrac{a}{b} \right) = \dfrac{\log a}{\log b}\text{.}$

A difference of 3 on a log scale corresponds to a ratio of $10^3\text{,}$ or 1000.