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Simplifying 10ln(3x + -1) = 50 Reorder the terms: 10ln(-1 + 3x) = 50 (-1 * 10ln + 3x * 10ln) = 50 (-10ln + 30lnx) = 50 Solving -10ln + 30lnx = 50 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -50 + -10ln + 30lnx = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + -10ln + 30lnx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-5 + -1ln + 3lnx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-5 + -1ln + 3lnx)' equal to zero and attempt to solve: Simplifying -5 + -1ln + 3lnx = 0 Solving -5 + -1ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1ln + 5 + 3lnx = 0 + 5 Reorder the terms: -5 + 5 + -1ln + 3lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1ln + 3lnx = 0 + 5 -1ln + 3lnx = 0 + 5 Combine like terms: 0 + 5 = 5 -1ln + 3lnx = 5 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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