# Decibel of sound

In mathematics, the logarithm is the opposite function to exponentiation. That implies the logarithm of a given number x is the example to which one more fixed number, the base b, should be raised, to deliver that number x. For example, A logarithm is an exponent. The exponential function is written as: f(x) = bx. The logarithmic function is written as: f(x) = log base b of x. The common log uses the base 10. The natural log uses the base e, which is an irrational number, e = 2.71828

One of the major ways we use logarithm is the decibel (dB) and the way we measure them, a unit for communicating the proportion between two actual amounts, typically measures of acoustic or electric power, or for estimating the overall loudness of sounds. One decibel (0.1 bel) approaches multiple times the normal logarithm of the power proportion. The way we use logarithm with decibel is, to communicate levels of sound seriously in numbers that are more sensible, a logarithmic scale is utilized, involving 10 as the base, instead of a direct one. This scale is known as the decibel scale. A sound multiple times all the more impressive is 10 dB. A sound multiple times more remarkable than close to adding up to quiet is 20 dB

(364) Sound Intensity Level in Decibels & Distance - Physics Problems - YouTube

What Noises Cause Hearing Loss? | NCEH | CDC

Mathematical Modeling with Exponential and Logarithmic Functions (montereyinstitute.org)