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

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


Simplifying
ln(x2 + 8x) + -1ln(x2 + -1x) = 2

Reorder the terms:
ln(8x + x2) + -1ln(x2 + -1x) = 2
(8x * ln + x2 * ln) + -1ln(x2 + -1x) = 2
(8lnx + lnx2) + -1ln(x2 + -1x) = 2

Reorder the terms:
8lnx + lnx2 + -1ln(-1x + x2) = 2
8lnx + lnx2 + (-1x * -1ln + x2 * -1ln) = 2
8lnx + lnx2 + (1lnx + -1lnx2) = 2

Reorder the terms:
8lnx + 1lnx + lnx2 + -1lnx2 = 2

Combine like terms: 8lnx + 1lnx = 9lnx
9lnx + lnx2 + -1lnx2 = 2

Combine like terms: lnx2 + -1lnx2 = 0
9lnx + 0 = 2
9lnx = 2

Solving
9lnx = 2

Solving for variable 'l'.

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

Divide each side by '9nx'.
l = 0.2222222222n-1x-1

Simplifying
l = 0.2222222222n-1x-1

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