ln(x^2)-ln(x)-ln(3)=0

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Solution for ln(x^2)-ln(x)-ln(3)=0 equation:


Simplifying
ln(x2) + -1ln(x) + -1ln(3) = 0

Multiply ln * x2
lnx2 + -1ln(x) + -1ln(3) = 0

Multiply ln * x
lnx2 + -1lnx + -1ln(3) = 0

Reorder the terms for easier multiplication:
lnx2 + -1lnx + -1 * 3ln = 0

Multiply -1 * 3
lnx2 + -1lnx + -3ln = 0

Reorder the terms:
-3ln + -1lnx + lnx2 = 0

Solving
-3ln + -1lnx + lnx2 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + -1x + 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 '(-3 + -1x + x2)' equal to zero and attempt to solve: Simplifying -3 + -1x + x2 = 0 Solving -3 + -1x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + -1x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x + x2 = 0 + 3 -1x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1x + x2 = 3 Add 'x' to each side of the equation. -1x + x + x2 = 3 + x Combine like terms: -1x + x = 0 0 + x2 = 3 + x x2 = 3 + x Add '-1x2' to each side of the equation. x2 + -1x2 = 3 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 3 + x + -1x2 Simplifying 0 = 3 + x + -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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