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Simplifying 5ln(2x + -3) = 10 Reorder the terms: 5ln(-3 + 2x) = 10 (-3 * 5ln + 2x * 5ln) = 10 (-15ln + 10lnx) = 10 Solving -15ln + 10lnx = 10 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -10 + -15ln + 10lnx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -15ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + -3ln + 2lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + -3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -2 + -3ln + 2lnx = 0 Solving -2 + -3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3ln + 2 + 2lnx = 0 + 2 Reorder the terms: -2 + 2 + -3ln + 2lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3ln + 2lnx = 0 + 2 -3ln + 2lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -3ln + 2lnx = 2 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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