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

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


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

Multiply ln * x
lnx + ln(x + -2) = 4

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

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

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

Solving
-2ln + 2lnx = 4

Solving for variable 'l'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + -1ln + lnx = 0 Solving -2 + -1ln + 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 + -1ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + -1ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1ln + lnx = 0 + 2 -1ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -1ln + 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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