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Simplifying ln(13) + -1ln(2x) = ln(52) Reorder the terms for easier multiplication: 13ln + -1ln(2x) = ln(52) Remove parenthesis around (2x) 13ln + -1ln * 2x = ln(52) Reorder the terms for easier multiplication: 13ln + -1 * 2ln * x = ln(52) Multiply -1 * 2 13ln + -2ln * x = ln(52) Multiply ln * x 13ln + -2lnx = ln(52) Reorder the terms for easier multiplication: 13ln + -2lnx = 52ln Solving 13ln + -2lnx = 52ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-52ln' to each side of the equation. 13ln + -52ln + -2lnx = 52ln + -52ln Combine like terms: 13ln + -52ln = -39ln -39ln + -2lnx = 52ln + -52ln Combine like terms: 52ln + -52ln = 0 -39ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '-1ln'. -1ln(39 + 2x) = 0 Ignore the factor -1.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 '(39 + 2x)' equal to zero and attempt to solve: Simplifying 39 + 2x = 0 Solving 39 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 2x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 2x = 0 + -39 2x = 0 + -39 Combine like terms: 0 + -39 = -39 2x = -39 Add '-2x' to each side of the equation. 2x + -2x = -39 + -2x Combine like terms: 2x + -2x = 0 0 = -39 + -2x Simplifying 0 = -39 + -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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