ln((3x^2)-(7x)+2)=1+ln((x^2)-4)

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Solution for ln((3x^2)-(7x)+2)=1+ln((x^2)-4) equation: 


Simplifying
ln((3x2) + -1(7x) + 2) = 1 + ln((x2) + -4)

Remove parenthesis around (7x)
ln((3x2) + -1 * 7x + 2) = 1 + ln((x2) + -4)

Multiply -1 * 7
ln((3x2) + -7x + 2) = 1 + ln((x2) + -4)

Reorder the terms:
ln(2 + -7x + (3x2)) = 1 + ln((x2) + -4)
(2 * ln + -7x * ln + (3x2) * ln) = 1 + ln((x2) + -4)
(2ln + -7lnx + 3lnx2) = 1 + ln((x2) + -4)
2ln + -7lnx + 3lnx2 = 1 + ln(x2 + -4)

Reorder the terms:
2ln + -7lnx + 3lnx2 = 1 + ln(-4 + x2)
2ln + -7lnx + 3lnx2 = 1 + (-4 * ln + x2 * ln)
2ln + -7lnx + 3lnx2 = 1 + (-4ln + lnx2)

Solving
2ln + -7lnx + 3lnx2 = 1 + -4ln + lnx2

Solving for variable 'l'.

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

Add '4ln' to each side of the equation.
2ln + -7lnx + 4ln + 3lnx2 = 1 + -4ln + 4ln + lnx2

Reorder the terms:
2ln + 4ln + -7lnx + 3lnx2 = 1 + -4ln + 4ln + lnx2

Combine like terms: 2ln + 4ln = 6ln
6ln + -7lnx + 3lnx2 = 1 + -4ln + 4ln + lnx2

Combine like terms: -4ln + 4ln = 0
6ln + -7lnx + 3lnx2 = 1 + 0 + lnx2
6ln + -7lnx + 3lnx2 = 1 + lnx2

Add '-1lnx2' to each side of the equation.
6ln + -7lnx + 3lnx2 + -1lnx2 = 1 + lnx2 + -1lnx2

Combine like terms: 3lnx2 + -1lnx2 = 2lnx2
6ln + -7lnx + 2lnx2 = 1 + lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
6ln + -7lnx + 2lnx2 = 1 + 0
6ln + -7lnx + 2lnx2 = 1

Reorder the terms:
-1 + 6ln + -7lnx + 2lnx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 6ln + -7lnx + 2lnx2 = 0

The solution to this equation could not be determined.

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