SOUND: The Decibel Scale

One unit of ( X ) is equal to ten times one-tenth of ( X ). We are at liberty to allow ( X ) to be a quantity of anything we wish. For example, let’s allow ( X ) to be a dollar bill: 1 dollar = ( 10 )( 1 tenth dollars )Continue reading “SOUND: The Decibel Scale”

MATHEMATICS: A Review of Logarithmic Functions and Exponential Math

The basic rules of exponents state that some number ( a ) raised to the ( x ) power is equal to ( y ). For example, ( 2 )( 2 ) = 4. This can also be expressed as ” two squared ” = 2^2. Likewise, ( 2 )( 2 )( 2 ) =Continue reading “MATHEMATICS: A Review of Logarithmic Functions and Exponential Math”

CHEMISTRY: Understanding The pH Scale

In order to truly understand what a ” pH ” means, one must first understand how exponents are used in mathematics.  Afterward, the usefulness of logarithms, which are the opposite operation of exponents, will be greatly appreciated. Ten times one can be written as 10 X 1.  Likewise, it may be written as 10*1.  MostContinue reading “CHEMISTRY: Understanding The pH Scale”

SOUND: Intensity, Loudness, and the Decibel System

The intensity ( I ) of a sound is quantitatively different than how sound is perceived by the ear. The perception of sound is referred to as ” loudness “. When a sound’s intensity increases by 10 decibels ( B ), the ear perceives this increase as a ” doubling ” in loudness. Logarithmic mathematicsContinue reading “SOUND: Intensity, Loudness, and the Decibel System”