4ln(x^2-6)=20

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Solution for 4ln(x^2-6)=20 equation:


Simplifying
4ln(x2 + -6) = 20

Reorder the terms:
4ln(-6 + x2) = 20
(-6 * 4ln + x2 * 4ln) = 20
(-24ln + 4lnx2) = 20

Solving
-24ln + 4lnx2 = 20

Solving for variable 'l'.

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

Reorder the terms:
-20 + -24ln + 4lnx2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -24ln + 4lnx2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -6ln + lnx2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + -6ln + lnx2)' equal to zero and attempt to solve: Simplifying -5 + -6ln + lnx2 = 0 Solving -5 + -6ln + lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -6ln + 5 + lnx2 = 0 + 5 Reorder the terms: -5 + 5 + -6ln + lnx2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6ln + lnx2 = 0 + 5 -6ln + lnx2 = 0 + 5 Combine like terms: 0 + 5 = 5 -6ln + lnx2 = 5 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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