ln(2x)=x^2+3x-8

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Solution for ln(2x)=x^2+3x-8 equation:


Simplifying
ln(2x) = x2 + 3x + -8

Remove parenthesis around (2x)
ln * 2x = x2 + 3x + -8

Reorder the terms for easier multiplication:
2ln * x = x2 + 3x + -8

Multiply ln * x
2lnx = x2 + 3x + -8

Reorder the terms:
2lnx = -8 + 3x + x2

Solving
2lnx = -8 + 3x + x2

Solving for variable 'l'.

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

Divide each side by '2nx'.
l = -4n-1x-1 + 1.5n-1 + 0.5n-1x

Simplifying
l = -4n-1x-1 + 1.5n-1 + 0.5n-1x

Reorder the terms:
l = 1.5n-1 + -4n-1x-1 + 0.5n-1x

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