ln(x^2-2)-ln(x)=ln(2e^2-1)-1

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Solution for ln(x^2-2)-ln(x)=ln(2e^2-1)-1 equation: 


Simplifying
ln(x2 + -2) + -1ln(x) = ln(2e2 + -1) + -1

Reorder the terms:
ln(-2 + x2) + -1ln(x) = ln(2e2 + -1) + -1
(-2 * ln + x2 * ln) + -1ln(x) = ln(2e2 + -1) + -1
(-2ln + lnx2) + -1ln(x) = ln(2e2 + -1) + -1

Multiply ln * x
-2ln + lnx2 + -1lnx = ln(2e2 + -1) + -1

Reorder the terms:
-2ln + -1lnx + lnx2 = ln(2e2 + -1) + -1

Reorder the terms:
-2ln + -1lnx + lnx2 = ln(-1 + 2e2) + -1
-2ln + -1lnx + lnx2 = (-1 * ln + 2e2 * ln) + -1

Reorder the terms:
-2ln + -1lnx + lnx2 = (2e2ln + -1ln) + -1
-2ln + -1lnx + lnx2 = (2e2ln + -1ln) + -1

Reorder the terms:
-2ln + -1lnx + lnx2 = -1 + 2e2ln + -1ln

Solving
-2ln + -1lnx + lnx2 = -1 + 2e2ln + -1ln

Solving for variable 'l'.

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

Add '-2e2ln' to each side of the equation.
-2ln + -1lnx + -2e2ln + lnx2 = -1 + 2e2ln + -2e2ln + -1ln

Reorder the terms:
-2e2ln + -2ln + -1lnx + lnx2 = -1 + 2e2ln + -2e2ln + -1ln

Combine like terms: 2e2ln + -2e2ln = 0
-2e2ln + -2ln + -1lnx + lnx2 = -1 + 0 + -1ln
-2e2ln + -2ln + -1lnx + lnx2 = -1 + -1ln

Add 'ln' to each side of the equation.
-2e2ln + -2ln + -1lnx + ln + lnx2 = -1 + -1ln + ln

Reorder the terms:
-2e2ln + -2ln + ln + -1lnx + lnx2 = -1 + -1ln + ln

Combine like terms: -2ln + ln = -1ln
-2e2ln + -1ln + -1lnx + lnx2 = -1 + -1ln + ln

Combine like terms: -1ln + ln = 0
-2e2ln + -1ln + -1lnx + lnx2 = -1 + 0
-2e2ln + -1ln + -1lnx + lnx2 = -1

Reorder the terms:
1 + -2e2ln + -1ln + -1lnx + lnx2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -2e2ln + -1ln + -1lnx + lnx2 = 0

The solution to this equation could not be determined.

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