Logarithms

Objective  To have an understanding of the history of logarithms, and to be able to change exponential equation into logarithmic equations.

What are they used for???  you can use logarithms in many statistics, biology, physics, and chemistry concepts to solve different problems. And In recent times, Math scholars and students use logarithms to solve exponential equations and to solve numbers extending from very big to small expression in a more refined manner.

When changing exponents to logs… 1. Use the equation log a (n)=b 2. Then, for a, substitute in the base of the exponent 3. For b, substitute in the exponent Ex1) Change 4 3 into logarithmic form log a (n)=b log a (n)=b log 4 (n)=b log 4 (n)=3 *since 4 3 is 64, 4 3 in logarithmic form is log 4 (64)=3

When changing a log into an exponential equation… 1. Use the equation a b =n 2. For a, substitute in the subscript of log 3. For b, substitute in the answer of the log Ex.2) Change log 2 (n)=3 a b =n a b =n 2 b =n 2 b =n 2 3 =n 2 3 =nn=8

GAME!!!  How to play…  Each row will receive a paper, therefore each row is a team  The first person will start, and solve the first problem.  When he or she is done, pass it to the next person.  That person can either fix the problem done previously, or go on to the next.  The first row to finish the paper correctly will win.

When you are done with the game…  Summary: today I learned…  Don’t forget to do the worksheet!!! :]