Logarithms

History of logarithms

The history of logarithms is the story of a correspondence (in modern terms, a group isomorphism) between multiplication on the positive real numbers and addition on the real number line that was formalized in seventeenth century Europe and was widely used to simplify calculation until the advent of the digital computer. The Napierian logarithms were published first in 1614. E. W. Hobson called it "one of the very greatest scientific discoveries that the world has seen." Henry Briggs introduced common (base 10) logarithms, which were easier to use. Tables of logarithms were published in many forms over four centuries. The idea of logarithms was also used to construct the slide rule, which became ubiquitous in science and engineering until the 1970s. A breakthrough generating the natural logarithm was the result of a search for an expression of area against a rectangular hyperbola, and required the assimilation of a new function into standard mathematics. (Wikipedia).

History of logarithms
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Simplifying Logarithms 3

In this video, we simplify a logarithm.

From playlist Logs - Worked Examples

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Combining Logs 2

This is an worked example of logarithms in Algebra 2.

From playlist Logs Group Quiz

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What are logarithms?: Dr Chris Tisdell Live Stream

This video explains what a logarithm is and why they are useful. We look s at basic log laws and how to apply them. Such ideas are important for solving all sorts of problems in mathematics. Free ebook http://tinyurl.com/EngMathYT

From playlist Calculus for Beginners

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What is a Logarithm : Logarithms, Lesson 1

This tutorial explains a practical way to think about logarithms. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

From playlist All About Logarithms

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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

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What is a Logarithm ( Part 2 with More Examples ) : Logarithms, Lesson 2

This tutorial demonstrates 3 examples which help the viewer understand what a logarithm is. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

From playlist All About Logarithms

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Properties of Logarithms : Logarithms, Lesson 5

This tutorial shows how a logarithm containing a product in its argument can be written as a sum of two logarithms, and how a logarithms of a quotient can be written as a subtraction of two logarithms. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTk

From playlist All About Logarithms

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Logarithms on Early Calculators 3/3: Implementation

A three part series on how early scientific calculators compute logarithms. This family of algorithms goes by many names: Briggs' Napier's, Volder's, Meggitt's, CORDIC, shift-and-add, etc.

From playlist Logarithms on Early Calculators: How they did it

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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

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Michael Temkin - Logarithmic geometry and resolution of singularities

Correction: The affiliation of Lei Fu is Tsinghua University. I will tell about recent developments in resolution of singularities achieved in a series of works with Abramovich and Wlodarczyk – resolution of log varieties, resolution of morphisms and a no-history (or dream) algorithm for

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

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How people came up with the natural logarithm and the exponential function #SoME1

I discuss the history of the introduction of the natural logarithm and exponential functions, answering the question of how the logarithm was first discovered and how it's properties were derived, and also why it appeared when it did. I consider several other areas of inquiry that could ha

From playlist Math

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Change of base formula proof | Logarithms | Algebra II | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:change-of-base/v/change-of-base-formula-proof Watch the next lesson: https://www.khanacademy.org/math/algebra2/l

From playlist Mathematics III | High School Math | Khan Academy

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Logarithmic equations | Logarithms | Algebra II | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:e/v/natural-logarithm-with-a-calculator Logarithmic Equations Watch the next lesson: https://www.khanacademy.or

From playlist Logarithms | Algebra II | Khan Academy

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Proof: a log b = log(b^a), log a - log b = log(a/b) | Logarithms | Algebra II | Khan Academy

Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B) Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/change-of-base-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the

From playlist Algebra II | High School Math | Khan Academy

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Solving exponential equation with logarithm | Logarithms | Algebra II | Khan Academy

Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/plotting-exponential-logarithm?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_

From playlist Algebra II | High School Math | Khan Academy

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Writing in logarithmic and exponential form | Logarithms | Algebra II | Khan Academy

Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/logarithm-exponential-deductions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarith

From playlist Algebra II | High School Math | Khan Academy

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Sum of logarithms with same base | Logarithms | Algebra II | Khan Academy

Sum of Logarithms with Same Base Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/using-multiple-logarithm-properties-to-simplify?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khana

From playlist Algebra II | High School Math | Khan Academy

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Introduction to logarithm properties (part 2) | Logarithms | Algebra II | Khan Academy

Second part of the introduction to logarithm properties. Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/logarithm-of-a-power?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacad

From playlist Algebra II | High School Math | Khan Academy

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Introduction to Logarithms (1 of 2: Definition)

More resources available at www.misterwootube.com

From playlist Logarithms and Exponentials

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Logarithm of a power | Logarithms | Algebra II | Khan Academy

Logarithm of a Power Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/sum-of-logarithms-with-same-base?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/lo

From playlist Algebra II | High School Math | Khan Academy

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