2ln(x-2)+6=14

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Solution for 2ln(x-2)+6=14 equation:


Simplifying
2ln(x + -2) + 6 = 14

Reorder the terms:
2ln(-2 + x) + 6 = 14
(-2 * 2ln + x * 2ln) + 6 = 14
(-4ln + 2lnx) + 6 = 14

Reorder the terms:
6 + -4ln + 2lnx = 14

Solving
6 + -4ln + 2lnx = 14

Solving for variable 'l'.

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

Add '-6' to each side of the equation.
6 + -4ln + -6 + 2lnx = 14 + -6

Reorder the terms:
6 + -6 + -4ln + 2lnx = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -4ln + 2lnx = 14 + -6
-4ln + 2lnx = 14 + -6

Combine like terms: 14 + -6 = 8
-4ln + 2lnx = 8

Reorder the terms:
-8 + -4ln + 2lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -4ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -2ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -2ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + -2ln + lnx = 0 Solving -4 + -2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -2ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + -2ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2ln + lnx = 0 + 4 -2ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -2ln + lnx = 4 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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