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Simplifying ln(x) = ln(6.8) Multiply ln * x lnx = ln(6.8) Reorder the terms for easier multiplication: lnx = 6.8ln Solving lnx = 6.8ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6.8ln' to each side of the equation. -6.8ln + lnx = 6.8ln + -6.8ln Combine like terms: 6.8ln + -6.8ln = 0.0 -6.8ln + lnx = 0.0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-6.8 + x) = 0.0Subproblem 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 '(-6.8 + x)' equal to zero and attempt to solve: Simplifying -6.8 + x = 0 Solving -6.8 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '6.8' to each side of the equation. -6.8 + 6.8 + x = 0 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + x = 0 + 6.8 x = 0 + 6.8 Combine like terms: 0 + 6.8 = 6.8 x = 6.8 Add '-1x' to each side of the equation. x + -1x = 6.8 + -1x Combine like terms: x + -1x = 0 0 = 6.8 + -1x Simplifying 0 = 6.8 + -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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