ln(x^2+1)-3*lnx=ln(2)

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Solution for ln(x^2+1)-3*lnx=ln(2) equation: 


Simplifying
ln(x2 + 1) + -3lnx = ln(2)

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

Reorder the terms:
1ln + -3lnx + lnx2 = ln(2)

Reorder the terms for easier multiplication:
1ln + -3lnx + lnx2 = 2ln

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

Solving for variable 'l'.

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

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

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

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

Combine like terms: 2ln + -2ln = 0
-1ln + -3lnx + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + -3x + x2) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1 + -3x + x2)' equal to zero and attempt to solve:

Simplifying
-1 + -3x + x2 = 0

Solving
-1 + -3x + x2 = 0

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

Add '1' to each side of the equation.
-1 + -3x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -3x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x + x2 = 0 + 1
-3x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-3x + x2 = 1

Add '3x' to each side of the equation.
-3x + 3x + x2 = 1 + 3x

Combine like terms: -3x + 3x = 0
0 + x2 = 1 + 3x
x2 = 1 + 3x

Add '-1x2' to each side of the equation.
x2 + -1x2 = 1 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 1 + 3x + -1x2

Simplifying
0 = 1 + 3x + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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