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how do I find e^2x >37 ?

 Jun 6, 2015

Best Answer 

 #1
avatar+128057 
+5

e^2x >37      take the ln of both sides

 

ln e^2x > ln 37     and we can write

 

2x ln e   > ln 37      and ln e = 1     ...  so we have

 

2x > ln 37     divide both sides by 2

 

x > ( ln 37) / 2  

 

x > 1.805

 

 

 Jun 6, 2015
 #1
avatar+128057 
+5
Best Answer

e^2x >37      take the ln of both sides

 

ln e^2x > ln 37     and we can write

 

2x ln e   > ln 37      and ln e = 1     ...  so we have

 

2x > ln 37     divide both sides by 2

 

x > ( ln 37) / 2  

 

x > 1.805

 

 

CPhill Jun 6, 2015

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