Equations with exponents or logarithms 2MPES

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Equations with exponents or logarithms 2MPES Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 2017 http://creativecommons.org/licences/by/2.0/ Attribute to: Kenny M. Felder (Rice University)

Objectives of the course By the end of the course, you should be able to: Solve using the exponents Solve by changing one exponent Solve using the logarithm Solve equation with exponents or logarithms

1. Exponents have the same base If match Transpose equation on the number Solve the Example: Solve the equation We have: bases exponents corresponding equation

2. Exponents with different bases May need to change one number So they can Example: Solve the equation We have: equation is now exponent match  case 1

3. Solving using logarithms When it is to match the bases Take the of both sides of equal sign Then apply the Example: Solve the equation By taking the log, we have: We apply the properties of logarithms: not possible logarithm properties of the logarithms

4. Solving using logarithms Distribute Calculator

Practical exercises Ouvrez un de vos exemples précédent (pas votre sites) avec Notepad+ Insérer le code de l’exemple dans la partie <head> Sauvez sous « essai10.htm » Dans l’explorer double cliquez sur « essai10.htm » et observez le résultat.

Solve the expressions for x

Solve the expressions for x

By the end of this course You are able to : Solve using the exponents Solve by changing one exponent Solve using the logarithm Solve equation with exponents or logarithms

See you at the next course, Please learn your lessons! Thank you for your work