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How to use Semilog Graph Paper
How to use Semilog Graph Paper
Published: 2013/04/16
Channel: Rose-Hulman Online
Semi-Log Graph Tutorial
Semi-Log Graph Tutorial
Published: 2014/08/18
Channel: Chad Kinney
Logarithmic scale | Logarithms | Algebra II | Khan Academy
Logarithmic scale | Logarithms | Algebra II | Khan Academy
Published: 2011/08/25
Channel: Khan Academy
Making a Semi Log Graph in Excel
Making a Semi Log Graph in Excel
Published: 2016/02/22
Channel: Piers Support
Logarithmic and Semi-Logarithmic Scale - (Geography)
Logarithmic and Semi-Logarithmic Scale - (Geography)
Published: 2015/09/24
Channel: KRS -
semilog paper
semilog paper
Published: 2015/08/25
Channel: ECE2280
Equations from Semi-Log and Log-Log Plots
Equations from Semi-Log and Log-Log Plots
Published: 2016/12/15
Channel: DrBrainWalton
Ex:  Plot Numbers on a Logarithmic Scale
Ex: Plot Numbers on a Logarithmic Scale
Published: 2014/11/11
Channel: Mathispower4u
Semi-Log Graphing
Semi-Log Graphing
Published: 2012/03/30
Channel: utexascnsquest
Math107 Ch4c Semilog Paper
Math107 Ch4c Semilog Paper
Published: 2012/07/27
Channel: Marion Yapuncich
Plotting on Semi Log Graph Paper
Plotting on Semi Log Graph Paper
Published: 2015/04/06
Channel: Susanna Nash
What Is Semi Log Paper?
What Is Semi Log Paper?
Published: 2018/07/17
Channel: E Answers
part 2 exel graphing - semi-log & trendline 2013
part 2 exel graphing - semi-log & trendline 2013
Published: 2013/04/14
Channel: Gerry Foster
Semilog graphing, slopes, and rates
Semilog graphing, slopes, and rates
Published: 2016/02/09
Channel: David Metzler
Making a Semi Log Graph in Sheets
Making a Semi Log Graph in Sheets
Published: 2016/02/23
Channel: Piers Support
Exponential decay and semi-log plots | Nuclear chemistry | Chemistry | Khan Academy
Exponential decay and semi-log plots | Nuclear chemistry | Chemistry | Khan Academy
Published: 2014/06/13
Channel: Khan Academy Organic Chemistry
Ex:  Find an Exponential Function for a Semi-Log Graph
Ex: Find an Exponential Function for a Semi-Log Graph
Published: 2012/06/28
Channel: Mathispower4u
Semi-log Grain Size Plot in Excel
Semi-log Grain Size Plot in Excel
Published: 2017/09/11
Channel: Thomas Weaver
problems on bode plot in control system engineering
problems on bode plot in control system engineering
Published: 2017/05/27
Channel: Build Knowledge
Intro to Semi-Log Graph (Water Column Decay Example)
Intro to Semi-Log Graph (Water Column Decay Example)
Published: 2016/05/19
Channel: turdfurg67
How to plot semi log graph sheet for filter frequency response
How to plot semi log graph sheet for filter frequency response
Published: 2018/05/22
Channel: Identica
Equations for linear and semi log graphs
Equations for linear and semi log graphs
Published: 2014/10/07
Channel: BLACKWOLF
Semi-Log and Log-Log Plots
Semi-Log and Log-Log Plots
Published: 2016/03/23
Channel: Step by Step Calculus
Semi-log Plot on Excel
Semi-log Plot on Excel
Published: 2014/09/22
Channel: Jose Zavala
MATLAB Plotting LogLog & SemiLog
MATLAB Plotting LogLog & SemiLog
Published: 2017/06/06
Channel: Screened-Instructor
How to Draw logarithmic chart on EXCEL
How to Draw logarithmic chart on EXCEL
Published: 2013/11/19
Channel: Mohammed Ata
Intro to Log-Log Graph (Simple Pendulum Example)
Intro to Log-Log Graph (Simple Pendulum Example)
Published: 2016/05/19
Channel: turdfurg67
Using a ruler/triangle on semilog plots.
Using a ruler/triangle on semilog plots.
Published: 2018/04/09
Channel: rolinychupetin
Plotting Two Data Series and Using Log Axes in MATLAB
Plotting Two Data Series and Using Log Axes in MATLAB
Published: 2015/03/04
Channel: SnugglyHappyMathTime
H342762 - Slope - Linear and Semilog
H342762 - Slope - Linear and Semilog
Published: 2013/04/13
Channel: barkerds
Basic Geotechnical Engineering [ 15cv45]
Basic Geotechnical Engineering [ 15cv45]
Published: 2017/03/08
Channel: ibk Innovations
MS EXCEL CLASS 9 . HOW TO SEMI-LOG GRAPH PLOT BY MS CXCEL
MS EXCEL CLASS 9 . HOW TO SEMI-LOG GRAPH PLOT BY MS CXCEL
Published: 2017/04/25
Channel: abdul alim
semi-log.flv
semi-log.flv
Published: 2011/02/25
Channel: nooluoit
semi log graph   tutorial video
semi log graph tutorial video
Published: 2016/04/13
Channel: Mr.Chiranjeevi Rahul
How to Draw Logarithmic Graph in Excel 2013
How to Draw Logarithmic Graph in Excel 2013
Published: 2014/03/03
Channel: TrueTuberTech
Log graphing in Excel
Log graphing in Excel
Published: 2010/05/05
Channel: UrbanScienceVideos
B03 Bode Plot How to use Semilog paper A so
B03 Bode Plot How to use Semilog paper A so
Published: 2014/04/06
Channel: sunil mohod
Log-log graphing, slopes, and exponents
Log-log graphing, slopes, and exponents
Published: 2016/02/10
Channel: David Metzler
Logarithmic Scale
Logarithmic Scale
Published: 2012/07/06
Channel: MrAudioSoundImages
Logarithmic Scale: Graphing in Microsoft Excel
Logarithmic Scale: Graphing in Microsoft Excel
Published: 2016/11/13
Channel: Math Easy Solutions
B03 Bode Plot How to use Semilog paper B so
B03 Bode Plot How to use Semilog paper B so
Published: 2014/04/06
Channel: sunil mohod
Semi Log Graph Paper
Semi Log Graph Paper
Published: 2018/04/12
Channel: Jackson Schroeder
Creating a Logarithmic Sieve Graph using Excel 2007
Creating a Logarithmic Sieve Graph using Excel 2007
Published: 2011/09/19
Channel: stlee85
How to draw Bode Plot on semi log paper with ANIMATION IN HINDI(PART 2)
How to draw Bode Plot on semi log paper with ANIMATION IN HINDI(PART 2)
Published: 2018/04/20
Channel: Digital Blackboard
Log-log/Semi-logs part 1
Log-log/Semi-logs part 1
Published: 2016/06/06
Channel: geac maths
Bode Plot - Control Systems
Bode Plot - Control Systems
Published: 2017/12/19
Channel: Electrofun
How to draw Graph in Log Scale in Microsoft Excel
How to draw Graph in Log Scale in Microsoft Excel
Published: 2017/11/08
Channel: HowTo
How to draw Bode Plot on semilog paper - type zero(0) system
How to draw Bode Plot on semilog paper - type zero(0) system
Published: 2017/03/01
Channel: Electrocrats
Semi-log Plot
Semi-log Plot
Published: 2014/06/18
Channel: Kareem Amer
semilog graphing example
semilog graphing example
Published: 2012/02/07
Channel: David Metzler
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WIKIPEDIA ARTICLE

From Wikipedia, the free encyclopedia
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The log-lin type of a semi-log graph, defined by a logarithmic scale on the y-axis, and a linear scale on the x-axis. Plotted lines are: y = 10x (red), y = x (green), y = log(x) (blue).
The lin-log type of a semi-log graph, defined by a logarithmic scale on the x axis, and a linear scale on the y axis. Plotted lines are: y = 10x (red), y = x (green), y = log(x) (blue).

In science and engineering, a semi-log graph or semi-log plot is a way of visualizing data that are related according to an exponential relationship. One axis is plotted on a logarithmic scale.

This kind of plotting method is useful when one of the variables being plotted covers a large range of values and the other has only a restricted range – the advantage being that it can bring out features in the data that would not easily be seen if both variables had been plotted linearly.[1]

The quote “logarithmic plots are a device of the devil” is attributed to the seismologist Charles Richter.[2]

All equations of the form form straight lines when plotted semi-logarithmically, since taking logs of both sides gives

This can easily be seen as a line in slope-intercept form with as the slope and as the vertical intercept. To facilitate use with logarithmic tables, one usually takes logs to base 10 or e, or sometimes base 2:

The term log-lin is used to describe a semi-log plot with a logarithmic scale on the y-axis, and a linear scale on the x-axis. Likewise, a lin-log plot uses a logarithmic scale on the x-axis, and a linear scale on the y-axis. Note that the naming is output-input (y-x), the opposite order from (x, y).

On a semi-log plot the spacing of the scale on the y-axis (or x-axis) is proportional to the logarithm of the number, not the number itself. It is equivalent to converting the y values (or x values) to their log, and plotting the data on lin-lin scales. A log-log plot uses the logarithmic scale for both axes, and hence is not a semi-log plot.

Equations[edit]

The equation for a line with an ordinate axis logarithmically scaled would be:

The equation of a line on a plot where the abscissa axis is scaled logarithmically would be

Real-world examples[edit]

Phase diagram of water[edit]

In physics and chemistry, a plot of logarithm of pressure against temperature can be used to illustrate the various phases of a substance, as in the following for water:

Log-lin pressure–temperature phase diagram of water. The Roman numerals indicate various ice phases.

2009 "swine flu" progression[edit]

While ten is the most common base, there are times when other bases are more appropriate, as in this example:

A semi-logarithmic plot of cases and deaths in the 2009 outbreak of influenza A (H1N1). Notice that while the horizontal (time) axis is linear, with the dates evenly spaced, the vertical (cases) axis is logarithmic, with the evenly spaced divisions being labelled with successive powers of two.

Microbial growth[edit]

In biology and biological engineering, the change in numbers of microbes due to asexual reproduction and nutrient exhaustion is commonly illustrated by a semi-log plot. Time is usually the independent axis, with the logarithm of the number or mass of bacteria or other microbe as the dependent variable. This forms a plot with four distinct phases, as shown below.

Bacterial growth curve

See also[edit]

References[edit]

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