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Semilog graph

 

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Semilog graph



 
 
In science
Science

In its broadest sense, science refers to any systematic knowledge or practice. In its more usual restricted sense, science refers to a system of acquiring knowledge based on scientific method, as well as to the organized body of knowledge gained through such research....
 and engineering
Engineering

Engineering is the discipline and profession of applying Technology and science knowledge and utilizing natural laws and physical resources in order to design and implement materials, structures, machines, devices, systems, and process that safely realize a desired objective and meet specified criteria....
, a semi-log graph or semi-log plot is a way of visualizing data that are changing with an exponential
Exponential distribution

In probability theory and statistics, the exponential distributions are a class of continuous probability distributions. They describe the times between events in a Poisson process, i.e....
 relationship.






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600px Loglinscale
600px Linlogscale
In science
Science

In its broadest sense, science refers to any systematic knowledge or practice. In its more usual restricted sense, science refers to a system of acquiring knowledge based on scientific method, as well as to the organized body of knowledge gained through such research....
 and engineering
Engineering

Engineering is the discipline and profession of applying Technology and science knowledge and utilizing natural laws and physical resources in order to design and implement materials, structures, machines, devices, systems, and process that safely realize a desired objective and meet specified criteria....
, a semi-log graph or semi-log plot is a way of visualizing data that are changing with an exponential
Exponential distribution

In probability theory and statistics, the exponential distributions are a class of continuous probability distributions. They describe the times between events in a Poisson process, i.e....
 relationship. One axis is plotted on a logarithmic scale
Logarithmic scale

A logarithmic scale is a scale that uses the logarithm of a physical quantity instead of the quantity itself.Presentation of data on a logarithmic scale can be helpful when the data covers a large range of values – the logarithm reduces this to a more manageable range....
. All functions of the form form straight lines, since taking logs of both sides is equal to

This can easily be seen as a line in slope-intercept form with as slope, as the y-intercept. To facilitate use with logarithmic tables, one usually takes logs to base 10 or e:

The term log-lin is used to describe a semi-log plot with a logarithmic scale on the y axis, and a linear
Linear

The word linear comes from the Latin word linearis, which means created by lines.In mathematics, a linear map or function f is a function which satisfies the following two properties......
 scale on the x axis. Likewise, a lin-log graph uses a logarithmic scale on the x axis, and a linear
Linear

The word linear comes from the Latin word linearis, which means created by lines.In mathematics, a linear map or function f is a function which satisfies the following two properties......
 scale on the y axis.

A log-log graph
Log-log graph

In science and engineering, a log-log graph or log-log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes....
 uses the logarithmic scale for both axes, and hence is not a semi-log graph.

See also

  • log-log graph
    Log-log graph

    In science and engineering, a log-log graph or log-log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes....
  • Nomograph, more complicated graphs