ln*x+ln*(x-1)=ln*72

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Solution for ln*x+ln*(x-1)=ln*72 equation:


Simplifying
ln * x + ln(x + -1) = ln * 72

Multiply ln * x
lnx + ln(x + -1) = ln * 72

Reorder the terms:
lnx + ln(-1 + x) = ln * 72
lnx + (-1 * ln + x * ln) = ln * 72
lnx + (-1ln + lnx) = ln * 72

Reorder the terms:
-1ln + lnx + lnx = ln * 72

Combine like terms: lnx + lnx = 2lnx
-1ln + 2lnx = ln * 72

Reorder the terms for easier multiplication:
-1ln + 2lnx = 72ln

Solving
-1ln + 2lnx = 72ln

Solving for variable 'l'.

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

Add '-72ln' to each side of the equation.
-1ln + -72ln + 2lnx = 72ln + -72ln

Combine like terms: -1ln + -72ln = -73ln
-73ln + 2lnx = 72ln + -72ln

Combine like terms: 72ln + -72ln = 0
-73ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-73 + 2x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-73 + 2x)' equal to zero and attempt to solve: Simplifying -73 + 2x = 0 Solving -73 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 2x = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 2x = 0 + 73 2x = 0 + 73 Combine like terms: 0 + 73 = 73 2x = 73 Add '-2x' to each side of the equation. 2x + -2x = 73 + -2x Combine like terms: 2x + -2x = 0 0 = 73 + -2x Simplifying 0 = 73 + -2x 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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