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Simplifying ln * x + -1ln * 6 = ln * 15 Multiply ln * x lnx + -1ln * 6 = ln * 15 Reorder the terms for easier multiplication: lnx + -1 * 6ln = ln * 15 Multiply -1 * 6 lnx + -6ln = ln * 15 Reorder the terms: -6ln + lnx = ln * 15 Reorder the terms for easier multiplication: -6ln + lnx = 15ln Solving -6ln + lnx = 15ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15ln' to each side of the equation. -6ln + -15ln + lnx = 15ln + -15ln Combine like terms: -6ln + -15ln = -21ln -21ln + lnx = 15ln + -15ln Combine like terms: 15ln + -15ln = 0 -21ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-21 + x) = 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 '(-21 + x)' equal to zero and attempt to solve: Simplifying -21 + x = 0 Solving -21 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x = 0 + 21 x = 0 + 21 Combine like terms: 0 + 21 = 21 x = 21 Add '-1x' to each side of the equation. x + -1x = 21 + -1x Combine like terms: x + -1x = 0 0 = 21 + -1x Simplifying 0 = 21 + -1x 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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