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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) = 0Subproblem 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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