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One of them is measuring earthquakes.
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What are the uses of logarithmic scales?
From the Wikipedia article (link below), Presentation of data on a logarithmic scale can be helpful when the data cover a large range of values - for the use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size.
What is the difference in the Natural Logarithmic Function and the Common Logarithmic Function?
Natural logarithms use base e (approximately 2.71828), common logarithms use base 10.
How many different scales are available for a scale drawing?
Infinitely many. You can represent any distance in real life by 1 unit on your scale or, conversely, you use any distance on your scale drawing to represent a unit of length in real life.
How do you use real numbers in real world situations?
Unless you are an electrical engineer or a math teacher, every number you will ever use in a real world situation will be a real number.
How can the distance of a toy car travels down a ramp affect its speed be used in real world uses?
Physicists and Engineers use small scale models like this all the time to convert to real world use. A toy car going down a ramp can simulate how a life size car will respond going down a hill. They can then use that information to build safer roads and vehicles.
What type of scale does a Richter scale use?
a logarithmic scale
What is an example from real life where you would want to use a logarithmic equation?
If by "real life" you include the physical world, then you express the spontaneous decay of radioactivity in a sample with a logarithmic equation.
When would you not use logarithmic scale?
When dealing with farm animals
What do you mean by loudness of sound?
We use a logarithmic scale when there is a wide range of values, and when a change in a value depends not on the absolute size of the change but on proportion to the value itself. Adding 1 to a value is absolutely the same whether the original value is 1 or 1000, a linear scale makes sense. If doubling a value is just the same change whether is it from 1 to 2 or from 1000 to 2000, a logarithmic scale is appropriate. We are going to investigate the decibel scale for loudness. There are two reasons why a logarithmic scale is useful: Quantities of interest exhibit such ranges of variation that a dB scale is more convenient than a linear scale. For example, sound pressure radiated by a submarine may vary by eight orders of magnitude depending on direction. The human ear interprets changes in loudness within a logarithmic scale.
How do fractals and logarithms relate to the real world?
Many things in the real world are approximately fractal or logarithmic. For example, if you examine a shore line it will be a wriggly line. Examine it at more detail and you will see a similar pattern but at a smaller scale. Even more detail and you still have the same (or similar) pattern at yet more detail. Computer-aided graphics use this property to generate landscapes: storing a small amount of "data" and replicating it at different scales is far easier than storing masses of data. The logarithmic function also has this scale-invariant property. If you are interested, read the attached link about Benford's Law. The article does not require much mathematical knowledge - only curiosity.
What are the uses of logarithmic scales?
From the Wikipedia article (link below), Presentation of data on a logarithmic scale can be helpful when the data cover a large range of values - for the use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size.
Why do you need a scale on a map and how do you use it?
The scale of the map is the ratio between the distance on the map compared with the distance on the ground. It is used to determine the "real world" distance from the map distance.
How long have map scales been used?
Unless you drew the map at full scale (real world size) all maps use a scaling factor of area of the real world to an area of the map. For example, on a 1:175,000 scale map one cm on the map represents 175,000 cm or 1.75 km (~1 mile) in the real world.
How do you draw a log graph?
You can get semi-log or log-log graph paper. In the first, the horizontal axis is linear while the vertical axis has a logarithmic scale. You can always use the paper sideways so that the horizontal is logarithmic and the vertical linear. The second type has both axes with logarithmic scales. Alternatively, you calculate the appropriate values and plot the results using the usual Cartesian coordinate system.
Why you use semi-log graph instead of simple graph?
A logarithmic scale is a scale of measurement that displays the value of a physical quantity using intervals corresponding to orders of magnitude, rather than a standard linear scale.A simple example is a chart whose vertical axis has equally spaced increments that are labeled 1, 10, 100, 1000, instead of 1, 2, 3, 4. Each unit increase on the logarithmic scale thus represents an exponential increase in the underlying quantity for the given base (10, in this case).Presentation of data on a logarithmic scale can be helpful when the data covers a large range of values. The use of the logarithms of the values rather than the actual values reduces a wide range to a more manageable size. Some of our senses operate in a logarithmic fashion (Weber-Fechner law), which makes logarithmic scales for these input quantities especially appropriate. In particular our sense of hearing perceives equal ratios of frequencies as equal differences in pitch. In addition, studies of young children in an isolated tribe have shown logarithmic scales to be the most natural display of numbers by humans.[1]
How can logarithms relate to everyday living?
Before the invention of the calculator, people needed to perform math by hand. Using tables of logarithms greatly sped up the common tasks of multiplication, division, powers and roots. Today, people use devices or scales that are based on logarithms. Music volume is based on a logarithmic scale. Every time you turn the volume up, you are doing something based on logarithms. Earthquakes are based on a logarithmic scale. Every time that you hear about an earthquake on the news, the earthquake is described in reference to a scale based on logarithms. Earthquakes happen daily all over the world.
How can logarithms relate to everyday?
Before the invention of the calculator, people needed to perform math by hand. Using tables of logarithms greatly sped up the common tasks of multiplication, division, powers and roots. Today, people use devices or scales that are based on logarithms. Music volume is based on a logarithmic scale. Every time you turn the volume up, you are doing something based on logarithms. Earthquakes are based on a logarithmic scale. Every time that you hear about an earthquake on the news, the earthquake is described in reference to a scale based on logarithms. Earthquakes happen daily all over the world.
