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Simplifying ln(2) + -1ln(5 + -1x) = ln(62) Reorder the terms for easier multiplication: 2ln + -1ln(5 + -1x) = ln(62) 2ln + (5 * -1ln + -1x * -1ln) = ln(62) 2ln + (-5ln + 1lnx) = ln(62) Combine like terms: 2ln + -5ln = -3ln -3ln + 1lnx = ln(62) Reorder the terms for easier multiplication: -3ln + 1lnx = 62ln Solving -3ln + 1lnx = 62ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-62ln' to each side of the equation. -3ln + -62ln + 1lnx = 62ln + -62ln Combine like terms: -3ln + -62ln = -65ln -65ln + 1lnx = 62ln + -62ln Combine like terms: 62ln + -62ln = 0 -65ln + 1lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-65 + 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 '(-65 + x)' equal to zero and attempt to solve: Simplifying -65 + x = 0 Solving -65 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + x = 0 + 65 x = 0 + 65 Combine like terms: 0 + 65 = 65 x = 65 Add '-1x' to each side of the equation. x + -1x = 65 + -1x Combine like terms: x + -1x = 0 0 = 65 + -1x Simplifying 0 = 65 + -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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