High School Algebra?

Algebra Level pending

Find the value of x x , for x > 0 x>0 : 3 x e 2 x + 2 x e x = 8 x 3x{ e }^{ 2x }+2x{ e }^{ x }=8x

8 3 e + 2 \frac { 8 }{ 3e+2 } ln ⁡ 8 5 \ln { \frac { 8 }{ 5 } } ln ⁡ 8 5 2 \frac { \ln { \frac { 8 }{ 5 } } }{ 2 } ln ⁡ 4 3 \ln { \frac { 4 }{ 3 } }

Pedro Henrique by Pedro Henrique , 23, Brazil

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1 solution

Pedro Henrique
Jan 24, 2016

Someone asked this question on socratic.org and I find interesting because of his resolution, I already made in there, so i'll just put the image of the solution here. I'm Brazilian, sorry for my bad English.

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