Ch.+8+-+Logarithmic+Functions

Chapter 8: Logarithmic Functions

 

This was accomplished with the development of logarithmic tables and, soon after, with logarithmic scales on a slide rule.
=== With the introduction of the scientific calculator in the mid-1970s, this application of logarithms for computations became somewhat obsolete; however, logarithms are still used today in many areas such as ===

__Key Ideas __
A logarithm is an exponent Equations in exponential form can be written in logarithmic form and vice versa  Exponential form x=cy logarithmic form y=logcx The inverse of the exponential function y=cx, c>0, c≠1, is x=cy or, in logarithmic form, y=logcx. Conversely, the inverse of the logarithmic function y=logcx, c>0, c≠1, is x=logcy or, in exponential form, y=cx. The graphs of an exponential function and its inverse logarithmic function are reflections of each other in the line y=x, as shown. For the logarithmic function y=logcx, c>0, c≠1, - The domain is - The range is - The x-intercept is 1 - The vertical asymptote is x=0, or the y-axis
 * ===[[file:8.1 Understanding Logarithms.pdf|8.1 Understanding Logarithms]] ===
 * ===[[file:8.2 – Transformations of Logarithmic Functions ...pdf|8.2 Transformations of Logarithmic Functions]] ===
 * ===<span style="font-family: Georgia,serif;">[[file:8.3 – Laws of Logarithms 2017.pdf|8.3 Laws of Logarithms]] ===
 * ===<span style="font-family: Georgia,serif;">[[file:8.4 A – Solving Logarithmic Equations.pdf|8.4 A – Solving Logarithmic Equations]] .......... Quiz 8.1-8.3 next day Monday May 8 ===
 * ===<span style="font-family: Georgia,serif;">[[file:8.4 B – Solving Logarithmic Equations & Applications .pdf|8.4 B – Solving Logarithmic Equations & Applications]] ~ ===
 * ===<span style="font-family: Georgia,serif;">[[file:8.5 – Natural Logarithm and the Number e.pdf|8.5 – Natural Logarithm and the Number e]] ===
 * ===<span style="font-family: Georgia,serif;">[[file:8.6 Logarithm Equations WS.pdf|Solving Logarithmic Equations work sheet]] ===