Logarithmic scales of measurement | Non-Newtonian calculus
A logarithmic scale (or log scale) is a way of displaying numerical data over a very wide range of values in a compact way—typically the largest numbers in the data are hundreds or even thousands of times larger than the smallest numbers. Such a scale is nonlinear: the numbers 10 and 20, and 60 and 70, are not the same distance apart on a log scale. Rather, the numbers 10 and 100, and 60 and 600 are equally spaced. Thus moving a unit of distance along the scale means the number has been multiplied by 10 (or some other fixed factor). Often exponential growth curves are displayed on a log scale, otherwise they would increase too quickly to fit within a small graph. Another way to think about it is that the number of digits of the data grows at a constant rate. For example, the numbers 10, 100, 1000, and 10000 are equally spaced on a log scale, because their numbers of digits is going up by 1 each time: 2, 3, 4, and 5 digits. In this way, adding two digits multiplies the quantity measured on the log scale by a factor of 100. (Wikipedia).
Ex: Determine the Value of a Number on a Logarithmic Scale (Log Form)
This video explains how to determine the value of several numbers on a logarithmic scale scaled in logarithmic form. http://mathispower4u.com
From playlist Using the Definition of a Logarithm
Ex: Determine the Value of a Number on a Logarithmic Scale (Exponential Form)
This video explains how to determine the value of several numbers on a logarithmic scale scaled in exponential form. http://mathispower4u.com
From playlist Using the Definition of a Logarithm
Ex: Plot Numbers on a Logarithmic Scale
This video explains how to plot given values on a logarithmic scale. The scale is in exponential form. http://mathispower4u.com
From playlist Using the Definition of a Logarithm
Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A
Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2 Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
Overview of logs - Free Math Help - Help on math
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how to convert between the different forms will help us i
From playlist Logarithmic and Exponential Form | Learn About
What is exponential and logarithmic form
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how to convert between the different forms will help us i
From playlist Logarithmic and Exponential Form | Learn About
Solving the Logarithmic Equation r = p - k*ln(t) for t
Solving the Logarithmic Equation r = p - k*ln(t) for t Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
Linear vs. logarithmic scaling in plots
This video is part of a full course on statistics and machine-learning. The full course includes 35 hours of video instruction, tons of Python and MATLAB code, and access to the Q&A forum. More information available here: https://www.udemy.com/course/statsml_x/?couponCode=202006 For a co
From playlist Statistics and machine learning
Solving a natural logarithmic equation using your calculator
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i
From playlist Solve Logarithmic Equations
Why L? -- the log scale explained
The L scale is often discounted by modern users who don't see much need to find common logarithms. In this video I show how base-10 logs can be used to simplify otherwise intractable calculations. Slide Rule Playlist (starts with basic videos): Playlist: https://www.youtube.com/playlist?
From playlist Learn the slide rule from Professor Herning
Fluid Flows and Boundaries on Logarithmic Lattices by Ciro Campolina
PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj
From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023
EZ Grader Long Ranger Grading Slide Rule (New!)
I describe the EZ Grader Long Ranger special purpose grading slide rule.
From playlist All Slide Rule Videos
This video defines a logarithms and provides examples of how to convert between exponential equations and logarithmic equations. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
Richter scale | Logarithms | Algebra II | Khan Academy
The basics of the logarithmic Richter and Moment Magnitude Scales to measure earthquakes Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/natural_logarithm/v/natural-logarithm-with-a-calculator?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Misse
From playlist Algebra II | High School Math | Khan Academy
Growth Rate and Log Graphs Instructor: Gilbert Strang http://ocw.mit.edu/highlights-of-calculus License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist Highlights of Calculus
Vi and Sal explore how we think about scale | Algebra II | Khan Academy
Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/logarithmic-equations/v/solving-logarithmic-equations_dup_1?utm_source=YT&utm_medium=Desc&
From playlist Algebra II | High School Math | Khan Academy
Graphing Exponentials & Logs (1 of 5: Fundamental graphs)
More resources available at www.misterwootube.com
From playlist Graphing Techniques
Reinventing the magic log wheel: How was this missed for 400 years?
Today is about reinventing a really cool mathematical wheel and its many different slide rule incarnations, just using a rubber band. 00:00 Intro 04:40 Multiply! 06:02 Pi times e 07:15 Divide! 08:39 Sliding rules 10:53 Apollo 11:08 Star Trek 11:45 Rubber band proof 13:13 Logarithms 16:50
From playlist Recent videos
What's a Log Scale?? Pandemic Plots Explained!
See all my videos at http://www.zstatistics.com/ 0:50 Basics 5:35 Log scales in COVID-19 9:50 Other uses of Log scales **********REFERENCES************* Jon Burn Murdoch COVID-19 plots (Financial Times) https://twitter.com/jburnmurdoch Radioactivity article Cho, G., Kim, J. H., Park, T
From playlist Health Stats IQ