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What is the exact solution to the equation e^(3x+5)=9?

lightningpercy3  Nov 19, 2018
 #1
avatar+92808 
+2

e^(3x + 5)   = 9       since "e" is involved, take the natural log of each side

 

Ln  e^(3x + 5)   = Ln 9      and we can write

 

(3x + 5) * Ln e   =    Ln 9        Ln e   = 1....so we can ignore this

 

3x + 5   =   Ln 9       subtract 5 from both sides

 

3x   =  Ln 9 -  5       divide both sides by 3

 

x  =   Ln 9 - 5

         ______

             3

 

 

 

cool cool cool

CPhill  Nov 19, 2018

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