2ln(x-5)=-4

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Solution for 2ln(x-5)=-4 equation:


Simplifying
2ln(x + -5) = -4

Reorder the terms:
2ln(-5 + x) = -4
(-5 * 2ln + x * 2ln) = -4
(-10ln + 2lnx) = -4

Solving
-10ln + 2lnx = -4

Solving for variable 'l'.

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

Reorder the terms:
4 + -10ln + 2lnx = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -10ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -5ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -5ln + lnx)' equal to zero and attempt to solve: Simplifying 2 + -5ln + lnx = 0 Solving 2 + -5ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5ln + -2 + lnx = 0 + -2 Reorder the terms: 2 + -2 + -5ln + lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5ln + lnx = 0 + -2 -5ln + lnx = 0 + -2 Combine like terms: 0 + -2 = -2 -5ln + lnx = -2 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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