Brian McLogan
Evaluating a Natural Logarithm Without a Calculator ln(1/5)
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Evaluating a Simple Natural Logarithm
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Learn how to graph and describe characteristics of a natural logarithm
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Brian McLogan
Pre-Calculus - Applying the Properties of Logs to Simplify an Expression
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Learn how to identify the transformations of logarithmic function
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Pre-Calculus - Evaluating a Natural Logarithm with a Radical in the Denominator
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Pre-Calculus - Evaluating a Logarithm with a Rational Root
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Pre-Calculus - Learn How To Evaluate a Logarithmic Expression
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Solving an exponential equation by taking log on both sides
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Virtually Passed
logarithmic decrement proof
Here I derive the formula used for logarithmic decrement. This is way to experimentally determine the values of your damping ratio. To do it: 1) Find the maximum amplitudes of your first peak and second peak 2) Find delta (from...
Brian McLogan
Converting an exponential equation to logarithmic
👉 Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
What are the properties of logarithms and natural logarithms
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Overview of properties of logarithms using multiplication
👉 Learn how to condense/expand logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the...
Brian McLogan
Pre-Calculus - How to Evaluate an Expression with a Natural Logarithms
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Khan Academy
Proof: d/dx(ln x)=1/x
Using the definition of a limit, various properties of logarithms, and a definition of e, Sal shows the proof of the derivative of ln x = 1/x. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a more straightforward...
Khan Academy
Proof: d/dx(e^x) = e6x
Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows proof that the derivative of ex = ex. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó clearly explains this proof.
Curated OER
What is a Natural Logarithm?
The instructor shows how logarithms of base e can be written as using the natural logarithm notation, abbreviated ln.
Curated OER
How Do You Convert From Exponential Form to Natural Logarithmic Form?
This video shows how to convert an equation in exponential form to logarithmic form. The example shown uses base e, and it is converted to an equation using a natural logarithm.
Khan Academy
Khan Academy: Algebra: Natural Logarithm With a Calculator
Demonstrates how to use a calculator to evaluate the natural log of a number and briefly discusses e. [3:37]
Khan Academy
Khan Academy: Pre Calculus: Compound Interest and E (Part 4)
In this culminating segment in the video series about compound interest and e, the formula for interest being compounded continuously is fully derived. Examples are then given on how to use the formula for different types of interest...
Khan Academy
Khan Academy: Pre Calculus: Exponential Growth
Video in which the instructor does a four-part example problem dealing with bacteria growth. The basic exponential growth equation is given, and it is used in a different way to solve each part of the problem. Natural logarithms are used...
Khan Academy
Khan Academy: Logarithm Basics: Introduction to Logarithms
An introduction to logarithms
Khan Academy
Khan Academy: Algebra: Calculator for Natural Logarithms
Explains how to use a calculator to evaluate the natural log of 3 after first illustrating how to estimate its value. [1:09]
Khan Academy
Khan Academy: Natural Logarithms: Natural Logarithm With a Calculator
Demonstrates how to use a calculator to evaluate the natural log of a number and briefly discusses e.