ln(x)-ln(x^2+9)=0

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Solution for ln(x)-ln(x^2+9)=0 equation:


Simplifying
ln(x) + -1ln(x2 + 9) = 0

Multiply ln * x
lnx + -1ln(x2 + 9) = 0

Reorder the terms:
lnx + -1ln(9 + x2) = 0
lnx + (9 * -1ln + x2 * -1ln) = 0
lnx + (-9ln + -1lnx2) = 0

Reorder the terms:
-9ln + lnx + -1lnx2 = 0

Solving
-9ln + lnx + -1lnx2 = 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(-9 + x + -1x2) = 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 '(-9 + x + -1x2)' equal to zero and attempt to solve: Simplifying -9 + x + -1x2 = 0 Solving -9 + x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + x + 9 + -1x2 = 0 + 9 Reorder the terms: -9 + 9 + x + -1x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x + -1x2 = 0 + 9 x + -1x2 = 0 + 9 Combine like terms: 0 + 9 = 9 x + -1x2 = 9 Add '-1x' to each side of the equation. x + -1x + -1x2 = 9 + -1x Combine like terms: x + -1x = 0 0 + -1x2 = 9 + -1x -1x2 = 9 + -1x Add 'x2' to each side of the equation. -1x2 + x2 = 9 + -1x + x2 Combine like terms: -1x2 + x2 = 0 0 = 9 + -1x + x2 Simplifying 0 = 9 + -1x + x2 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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