Natural Logarithm Teacher Resources

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.

The instructor shows how logarithms of base e can be written as using the natural logarithm notation, abbreviated ln.

This video shows how to convert an equation in natural logarithmic form to exponential form in base e. The instructor reviews the definition of logarithms before completing an example.

If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...

Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...

Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.

In this Algebra II worksheet, 11th graders solve equations involving natural logarithms.  The two page worksheet contains explanation, worked examples, and four practice problems.  Answers are not included. 

High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. High schoolers repeat the process using different exponential functions using a slider.

A nice poster or handout showing the natural logarithm of 2, ln 2, as an alternating series or convergent series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique...

In this algebra worksheet, students solve problems of logarithm using addition, subtraction, multiplication and division. There are 8 questions with an answer key.

Students explore the dose response principle, an introduction to what the "natural log" (ln) is and how it behaves. They create and analyze a dose response graph.

In this logarithm worksheet, students solve 82 short answer problems. Students use log properties to simplify logarithms and natural logarithms.

Watch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for...

I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...

Objects may be more linear than they appear. Scholars investigate the relationship between the number of bone mineral density scanners in the US and time. Once they take the natural logarithm of the number of scanners, a linear...

Students solve exponential and log functions. For this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs. 

Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...

Use the natural logarithm to simplify differentiation. The 22nd resource in a series of 31 provides an example of a problem that would be best differentiated by using logarithms. The presenter takes the natural logarithm of both sides....

It is only natural to take the derivative of a logarithmic function with a complex argument. The 21st installment in a series of 31 provides an example of taking the derivative of a natural logarithmic function. First simplifying the...

Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.

Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...

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...

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.

In this logarithms activity, students simplify 14 logarithms.  Students re-write each set of logarithms as a single logarithm and solve for the unknown variable.