lny=ln(x^2-1)

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Solution for lny=ln(x^2-1) equation:


Simplifying
lny = ln(x2 + -1)

Reorder the terms:
lny = ln(-1 + x2)
lny = (-1 * ln + x2 * ln)
lny = (-1ln + lnx2)

Solving
lny = -1ln + lnx2

Solving for variable 'l'.

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

Add 'ln' to each side of the equation.
ln + lny = -1ln + ln + lnx2

Combine like terms: -1ln + ln = 0
ln + lny = 0 + lnx2
ln + lny = lnx2

Add '-1lnx2' to each side of the equation.
ln + -1lnx2 + lny = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
ln + -1lnx2 + lny = 0

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