lnx+ln(x-2)=48

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Solution for lnx+ln(x-2)=48 equation:


Simplifying
lnx + ln(x + -2) = 48

Reorder the terms:
lnx + ln(-2 + x) = 48
lnx + (-2 * ln + x * ln) = 48
lnx + (-2ln + lnx) = 48

Reorder the terms:
-2ln + lnx + lnx = 48

Combine like terms: lnx + lnx = 2lnx
-2ln + 2lnx = 48

Solving
-2ln + 2lnx = 48

Solving for variable 'l'.

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

Reorder the terms:
-48 + -2ln + 2lnx = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -2ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -1ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-24 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -24 + -1ln + lnx = 0 Solving -24 + -1ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -1ln + 24 + lnx = 0 + 24 Reorder the terms: -24 + 24 + -1ln + lnx = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1ln + lnx = 0 + 24 -1ln + lnx = 0 + 24 Combine like terms: 0 + 24 = 24 -1ln + lnx = 24 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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