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Simplifying ln(2) + -1ln(4x) = ln(62) Reorder the terms for easier multiplication: 2ln + -1ln(4x) = ln(62) Remove parenthesis around (4x) 2ln + -1ln * 4x = ln(62) Reorder the terms for easier multiplication: 2ln + -1 * 4ln * x = ln(62) Multiply -1 * 4 2ln + -4ln * x = ln(62) Multiply ln * x 2ln + -4lnx = ln(62) Reorder the terms for easier multiplication: 2ln + -4lnx = 62ln Solving 2ln + -4lnx = 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. 2ln + -62ln + -4lnx = 62ln + -62ln Combine like terms: 2ln + -62ln = -60ln -60ln + -4lnx = 62ln + -62ln Combine like terms: 62ln + -62ln = 0 -60ln + -4lnx = 0 Factor out the Greatest Common Factor (GCF), '-4ln'. -4ln(15 + x) = 0 Ignore the factor -4.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 '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Add '-1x' to each side of the equation. x + -1x = -15 + -1x Combine like terms: x + -1x = 0 0 = -15 + -1x Simplifying 0 = -15 + -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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