Logarithms are exponents that indicate the power to which a base must be raised to yield a given number. For example, the base 10 logarithm of 100 is 2 because 10^2 equals 100. Logarithms are useful for solving exponential equations and are used to measure sound intensity in decibels, earthquake magnitudes on the Richter scale, star brightness, and pH chemistry scales. The decibel is the unit used to measure noise levels and is represented by db.