The term Napierian logarithm or Naperian logarithm, named after John Napier, is often used to mean the natural logarithm. Napier did not introduce this natural logarithmic function, although it is named after him. However, if it is taken to mean the "logarithms" as originally produced by Napier, it is a function given by (in terms of the modern natural logarithm): The Napierian logarithm satisfies identities quite similar to the modern logarithm, such as or In Napier's 1614 Mirifici Logarithmorum Canonis Descriptio, he provides tables of logarithms of sines for 0 to 90°, where the values given (columns 3 and 5) are (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
Using the inverse of an exponential equation to find the logarithm
👉 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
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 the quotient rule of logarithms
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe
From playlist Solve Logarithmic Equations | Learn About
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
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
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
Solving a natural logarithmic equation using quadratic formula
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe
From playlist Solve Logarithmic Equations with Logs on Both Sides
Isolating a logarithm and using the power rule to solve
👉 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
Introduction to Solving Logarithms and Exponentials (Precalculus - College Algebra 57)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to solve logarithms by using exponentials (without common bases) and how to solve exponentials by using logarithms (without common bases). The focus of the video will be o
From playlist Precalculus - College Algebra/Trigonometry
Introduction to Logarithms and Their Graphs (Precalculus - College Algebra 55)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com A study of logarithms from the vantage point of being the inverse of an exponential. Focus will be on the creation of the graph of the logarithm and how to change between log
From playlist Precalculus - College Algebra/Trigonometry
Solving Logarithms with Common Bases (Precalculus - College Algebra 62)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to solve logarithmic equations with no constants and only logarithms by setting the arguments of equaled based logarithms equal.
From playlist Precalculus - College Algebra/Trigonometry
Defining the Natural Logarithm as an Integral?!?!?
We typically define ln(x), the natural logarithm of x, by first defining the exponential function of x, noting that this is a 1:1 function, and then defining ln(x) as the inverse function to exponential. In this video we go the other way around. We define ln(x) as a particular integral, an
From playlist Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) **Full Course**
Expanding logarithmic expressions
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the same base. For example: log ab = log a + log b. Th
From playlist Power to Quotient Rule of Logarithms
Expanding logarithmic expressions
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the same base. For example: log ab = log a + log b. Th
From playlist Power to Quotient Rule of Logarithms
How to Expand Logarithms (Precalculus - College Algebra 59)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com How to use the properties of logarithms to expand logarithmic expressions.
From playlist Precalculus - College Algebra/Trigonometry
How to expand logarithmic expressions to multiple logarithms
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the same base. For example: log ab = log a + log b. Th
From playlist Power to Quotient Rule of Logarithms
How to expand a log expression using the rules of logarithms
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the same base. For example: log ab = log a + log b. Th
From playlist Power to Quotient Rule of Logarithms
Solving a logarithim, log81 (x) = 3/4
👉 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
Learn the basics to expanding a logarithmic expression
👉 Learn how to expand logarithms using the product/quotient rule. The product rule of logarithms states that the logarithm of a product to a given base is equivalent to the sum of the logarithms of the terms that make up the product to the same base. For example: log ab = log a + log b. Th
From playlist Power to Quotient Rule of Logarithms