Logarithms are a shortcut for exponents. There are patterns in logarithms that are fairly easy to understand. For example, the logarithm of 100 to base 10 is 2. The logarithm of 1000 to base 10 is 3.

Though logarithmic scales are troublesome to many (if not most) math students, they strangely have a lot to do with how we all instinctively thought about numbers as infants.

The Richter scale is logarithmic; meaning, a M7.1 would be 10x bigger than a M6.1 and 100x bigger than a M5.1 (for example). #EarthquakeLA ...

"Logarithmic scales are commonly used in other sciences, for example, the decibel scale in sound measurements and the pH scale in chemistry for rating acidity." ...

This rectangular aluminum instrument has a scale of reciprocal inches, unevenly divided and labeled R I; a scale of equal parts, labeled I and numbered by ones from 1 to 10 and by tens from 15 to 95; ...