Logarithmic Scales
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Many different kinds of data can be modeled or measured easily using exponential and logarithmic functions. For example, consider ideal gases: Pressure versus volume give a curved plot, but a log graph of pressure versus volume provides a linear plot that is easier to interpret. Log plots are also used in the study of the rates of reactions; for many reactions, the log of remaining reactant concentration versus time is linear.
For this Discussion Board, use the Library and other resources to find at least two examples of scientific data that are measured and reported using log scales. Examples can be found in such fields as chemistry, astronomy, and geology
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EXAMPLE 1
One example of logarithms is in physics. A decibel is a unit used to express the amount of a change in level of power, voltage, current, or sound. Decibels are measured using a logarithmic scale of base 10.
The difference in intensity of two sounds can be calculated using the following formula:
Decibels (dB) = 10 log(P2/P1)
where P1 and P2 are the intensities of the two sounds you are ...
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