Exponents+and+Logarithms

As an IB Learner you need to be reflective and a good communicator. On your own page of your blog you will need to explain each of these important ideas **__ in your own words __**:

 * === Change of base theorem ===
 * === **Fundamental properties of logarithms** ===
 * === **Log of both sides theorem** ===
 * === **Laws of logarithms** ===

**TYPE OF PROBLEMS YOU WILL NEED TO SOLVE:**

 * === Know the definition of a logarithm. ===
 * === **Evaluate logarithms.**  ===
 * === **Use the Grant's tomb properties to simplify logarithmic expressions.**  ===
 * === **Solve exponential equations.**  ===
 * === **Solve logarithmic equations** **.** ===
 * === **Solve applied problems of growth and decay** **.** ===

Exponential Equations

 * Video: **
 * Solving quadratic-type logarithmic equations** (time: 8:15)


 * Napier:**
 * @http://www-history.mcs.st-and.ac.uk/~history/Mathematicians/Napier.html**


 * Reference Topic Links: **


 * This site defines a logaithm and has practice worksheets.**
 * @http://www.math.utah.edu/~alfeld/math/log.html**

**These sites give an overview of logarithm:** **@http://hyperphysics.phy-astr.gsu.edu/hbase/logm.html** **@http://www.mathcentre.ac.uk/students.php/all_subjects/algebra/logarithms/resources/**

**Review logarithms at this interactive site:** **@http://academic.pgcc.edu/~ssinex/rad_decay.pdf**

Logarithmic Equations

 * Video: **
 * This video solves some logarithmic equations** (9:22)


 * Reference Topic Links: **


 * This site gives some examples of solving logarithmic equations:****
 * @http://www.purplemath.com/modules/solvelog.htm****

**This site gives practice solving logarithmic equations:** **@http://www.analyzemath.com/LogEqTest/Tutorials.html**

Applications of Growth and Decay

 * Video: **
 * This video models a populations example** (time 9:27)

 **Site on growth and decay.** **@http://www.physics.uoguelph.ca/tutorials/exp/Q.exp.html**  **There are many sites on earthquake readiness; one that shows recent quakes is listed here. You may be amazed that there are so many recent large quakes.@http://pubs.usgs.gov/fs/1999/fs151-99/**
 * Reference Topic Links: **
 * Earthquake Locator:**
 * @http://www.geo.ed.ac.uk/quakes/quakes.html**

**These sites provide interesting decibel tests:** **@http://www.phys.unsw.edu.au/jw/hearing.html**


 * The World census clock provides the world's population updated every minute:**
 * @http://www.census.gov/cgi-bin/ipc/popclockw**