SOLUTION: 5+ln(8x)=23-2ln(x)

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Question 304867: 5+ln(8x)=23-2ln(x)
Found 2 solutions by nerdybill, themathtutor2009:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
5+ln(8x)=23-2ln(x)
ln(8x)=18-2ln(x)
ln(8x)+2ln(x) = 18
ln(8x)+ln(x^2) = 18
ln(8x)(x^2) = 18
ln(8x^3) = 18
8x^3 = e^18
x^3 = (e^18)/8
x = cube_root((e^18)/8)
x = 201.7144

Answer by themathtutor2009(81) About Me  (Show Source):
You can put this solution on YOUR website!
5+ln(8x)=23-2ln(x)


5ln(e)+ln(8x)=23ln(e)-ln(x^2)


ln(e^5*8x)=ln(e^23/x^2)


e^5*8x=e^23/x^2

e^5*8x^3=e^23

8x^3=e^23/e^5

8x^3=e^18

(2x)^3=e^18

2x=e^6

x=(e^6)/2


Answer is x=(e^6)/2