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1: e^5x = e^15

2: e^3x = e^2x-1

3: ln(3x-5)=ln(11)+ln(2)

4: 3ln(x) = 2ln(8)

 Feb 7, 2017
 #1
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1. e^5x = e^15,  so 5x = 15,   x = 3

 

2.  e^3x = e^(2x-1).     3x = 2x - 1.    x = -1

 

3.  ln(3x-5) = ln(11) + ln(2).   ln(3x-5) = ln(22).    3x - 5 = 22.  x = 9

 

4.  3ln(x) = 2ln(8).   ln(x^3) = ln(8^2).   x^3 = 64.   x = 4

 Feb 7, 2017

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