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Simplifying ln(-4x) + ln(2) = ln(76) Remove parenthesis around (-4x) ln * -4x + ln(2) = ln(76) Reorder the terms for easier multiplication: -4ln * x + ln(2) = ln(76) Multiply ln * x -4lnx + ln(2) = ln(76) Reorder the terms for easier multiplication: -4lnx + 2ln = ln(76) Reorder the terms: 2ln + -4lnx = ln(76) Reorder the terms for easier multiplication: 2ln + -4lnx = 76ln Solving 2ln + -4lnx = 76ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-76ln' to each side of the equation. 2ln + -76ln + -4lnx = 76ln + -76ln Combine like terms: 2ln + -76ln = -74ln -74ln + -4lnx = 76ln + -76ln Combine like terms: 76ln + -76ln = 0 -74ln + -4lnx = 0 Factor out the Greatest Common Factor (GCF), '-2ln'. -2ln(37 + 2x) = 0 Ignore the factor -2.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 '(37 + 2x)' equal to zero and attempt to solve: Simplifying 37 + 2x = 0 Solving 37 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 2x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 2x = 0 + -37 2x = 0 + -37 Combine like terms: 0 + -37 = -37 2x = -37 Add '-2x' to each side of the equation. 2x + -2x = -37 + -2x Combine like terms: 2x + -2x = 0 0 = -37 + -2x Simplifying 0 = -37 + -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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