A logarithm answers the question: "To what power must the base be raised to get this number?" log_b(x) = n means bⁿ = x. Logarithms compress enormous ranges and are used in sound (decibels), earthquakes (Richter scale), and pH.
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Did You Know?
A 9.0 earthquake releases about 31 times the energy of an 8.0, because the Richter scale is logarithmic (base 10). Each whole number represents 10× more ground motion.
References
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