lnx^2-ln^5=0

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Solution for lnx^2-ln^5=0 equation:


Simplifying
lnx2 + -1ln5 = 0

Solving
lnx2 + -1ln5 = 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(x2 + -1n4) = 0

Factor a difference between two squares.
ln((x + n2)(x + -1n2)) = 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 '(x + n2)' equal to zero and attempt to solve: Simplifying x + n2 = 0 Reorder the terms: n2 + x = 0 Solving n2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n2' to each side of the equation. n2 + -1n2 + x = 0 + -1n2 Combine like terms: n2 + -1n2 = 0 0 + x = 0 + -1n2 x = 0 + -1n2 Remove the zero: x = -1n2 Add '-1x' to each side of the equation. x + -1x = -1n2 + -1x Combine like terms: x + -1x = 0 0 = -1n2 + -1x Simplifying 0 = -1n2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(x + -1n2)' equal to zero and attempt to solve: Simplifying x + -1n2 = 0 Reorder the terms: -1n2 + x = 0 Solving -1n2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add 'n2' to each side of the equation. -1n2 + n2 + x = 0 + n2 Combine like terms: -1n2 + n2 = 0 0 + x = 0 + n2 x = 0 + n2 Remove the zero: x = n2 Add '-1x' to each side of the equation. x + -1x = n2 + -1x Combine like terms: x + -1x = 0 0 = n2 + -1x Simplifying 0 = n2 + -1x 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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