Skowhegan Area High School

Contemporary Mathematics In Context                                                                                      skowbutton msadbutton
Topics
Introduction
Inverses
Horizontal Line Test
Restricting Domain
Composition Functions
Common Logs
Exponential to Log. Form
Rules of Logarithms
Logarithmic Scales
 
 
 
 
 
 

 

Examples:


(the base in exponential form is 10, then the base unit is always the same in log. form. Therefore, the base unit is also 10. The exponent in exponential form, changes to the answer in logarithmic form. In our case the exponent is 1, so the answer in log form is also 1. The answer in exponential form turns to the number of which you’re trying to find the log of in logarithmic form.)


Examples:
:


In the above problem in changing from logarithmic to exponential form, we carried the base unit of 3 over, made the answer in log form to the exponent in exponential form, and the number we were trying to find the log of, to the answer in exponential form. Then you have to think to yourself, 3 to what power would give you 81? Obviously, the answer is 4!



Going from logarithms to exponentials: