lnx-.5ln(x^3-5)+4ln(x-2)=0

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Solution for lnx-.5ln(x^3-5)+4ln(x-2)=0 equation: 


Simplifying
lnx + -0.5ln(x3 + -5) + 4ln(x + -2) = 0

Reorder the terms:
lnx + -0.5ln(-5 + x3) + 4ln(x + -2) = 0
lnx + (-5 * -0.5ln + x3 * -0.5ln) + 4ln(x + -2) = 0
lnx + (2.5ln + -0.5lnx3) + 4ln(x + -2) = 0

Reorder the terms:
lnx + 2.5ln + -0.5lnx3 + 4ln(-2 + x) = 0
lnx + 2.5ln + -0.5lnx3 + (-2 * 4ln + x * 4ln) = 0
lnx + 2.5ln + -0.5lnx3 + (-8ln + 4lnx) = 0

Reorder the terms:
2.5ln + -8ln + lnx + 4lnx + -0.5lnx3 = 0

Combine like terms: 2.5ln + -8ln = -5.5ln
-5.5ln + lnx + 4lnx + -0.5lnx3 = 0

Combine like terms: lnx + 4lnx = 5lnx
-5.5ln + 5lnx + -0.5lnx3 = 0

Solving
-5.5ln + 5lnx + -0.5lnx3 = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

The solution to this equation could not be determined.

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