1 / 7

The Natural logarithm and e

The Natural logarithm and e. IB SL/HL Adrian Sparrow www.ibmaths.com. Learning outcome: you should be able to solve equations by using the relationship between the natural logarithm and e. Natural logarithms. A logarithm to the base e is called a natural logarithm.

warner
Télécharger la présentation

The Natural logarithm and e

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Natural logarithm and e • IB SL/HL • Adrian Sparrow • www.ibmaths.com

  2. Learning outcome: you should be able to solve equations by using the relationship between the natural logarithm and e.

  3. Natural logarithms A logarithm to the base e is called a natural logarithm. logex is written as lnx So, lnx is the inverse function of ex

  4. Without using a calculator find the value of: Using the natural log - ln Use a calculator to find: = 3 =0 = 4 =1 = =2 = -3 = = -1 = n

  5. The laws of natural logarithms It is also helpful to realise that lnex= x

  6. Finding a missing index using logarithms Find x to 2 decimal places using trial and error. This process can be used with any base log, even the natural log. Far too complicated ... Take a log of both sides Now try these, answers to 2 d.p. Use the power rule

  7. Find x, if Find x, if Remember the base of a natural log is e. Take a natural log of both sides. Rearrange in index form. Use the power rule. Find x in each of the following: Find x in each of the following:

More Related