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C24

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Saved by PBworks
on April 27, 2007 at 7:29:34 pm
 

Outcome: C24, solve exponential and logarithmic equations

 

Originator:  Daniel & Alex

 

Explanation: To solve exponential equations  . 

 

Logarthiums are a nother way to solve for the value of x in a exponatial equation. Logs are used to solve for irrational ( numbers that can't be expressed as a fraction ex: Formula) answers for x. and there are  three laws of logarthiums:

 

Log of a power,Formula. 

 

Log of a product,Formula. 

  

Log of a quotent,Formula. 

 

Logs are the inverse of exponents, much the same way  as addition is the inverse of subtraction, division is the inverse of multiplecation, or roots are the inverse of powers.

 

To solve with logarthums we must re-wite the equation, Formula This makes the exponential equation a logarithmic one. 

 

 The base stays the same but x and y (the argument and the solution) values swich. Once it is in a logarithmic equation and the base is not 10 you must make it 10, so you can  

 

solve in a calculator (ex: Ti-83).  

To make the logarithium base 10 u must use the change of base formula. Formula 

 

 

Note: If the base of the log is not given it is (base)10 so Formula

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