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http://prntscr.com/lby908

 

did i choose the right one 

 Oct 29, 2018
 #1
avatar+100579 
+1

2^(3x - 2)  =  5^x      take the ln of both sides

 

ln  2^(3x - 2)  =  ln 5^x     and we can write

 

(3x - 2) ln (2)  =  x ln 5    simplify

 

3x ln 2  -  2ln 2   = x ln 5     rearrange

 

3x ln 2 - x ln 5   =  2ln 2       factor

 

x  [ 3 ln 2 - ln 5]  = 2ln 2      divide both sides by  [ 3 ln 2  - ln 5 ]

 

x  =       2 ln 2

         __________        correct  !!!!

          3ln 2 - ln 5

 

 

cool cool cool

 Oct 29, 2018

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