ln(x^2-17)-ln(X-5)=0

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Solution for ln(x^2-17)-ln(X-5)=0 equation:


Simplifying
ln(x2 + -17) + -1ln(X + -5) = 0

Reorder the terms:
ln(-17 + x2) + -1ln(X + -5) = 0
(-17 * ln + x2 * ln) + -1ln(X + -5) = 0
(-17ln + lnx2) + -1ln(X + -5) = 0

Reorder the terms:
-17ln + lnx2 + -1ln(-5 + X) = 0
-17ln + lnx2 + (-5 * -1ln + X * -1ln) = 0
-17ln + lnx2 + (5ln + -1lnX) = 0

Reorder the terms:
-17ln + 5ln + -1lnX + lnx2 = 0

Combine like terms: -17ln + 5ln = -12ln
-12ln + -1lnX + lnx2 = 0

Solving
-12ln + -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(-12 + -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 '(-12 + -1X + x2)' equal to zero and attempt to solve: Simplifying -12 + -1X + x2 = 0 Solving -12 + -1X + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1X + 12 + x2 = 0 + 12 Reorder the terms: -12 + 12 + -1X + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1X + x2 = 0 + 12 -1X + x2 = 0 + 12 Combine like terms: 0 + 12 = 12 -1X + x2 = 12 Add 'X' to each side of the equation. -1X + X + x2 = 12 + X Combine like terms: -1X + X = 0 0 + x2 = 12 + X x2 = 12 + X Add '-1x2' to each side of the equation. x2 + -1x2 = 12 + X + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 12 + X + -1x2 Simplifying 0 = 12 + 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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