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Simplifying 7ln(5x + -3) + -8 = 13 Reorder the terms: 7ln(-3 + 5x) + -8 = 13 (-3 * 7ln + 5x * 7ln) + -8 = 13 (-21ln + 35lnx) + -8 = 13 Reorder the terms: -8 + -21ln + 35lnx = 13 Solving -8 + -21ln + 35lnx = 13 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -21ln + 8 + 35lnx = 13 + 8 Reorder the terms: -8 + 8 + -21ln + 35lnx = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -21ln + 35lnx = 13 + 8 -21ln + 35lnx = 13 + 8 Combine like terms: 13 + 8 = 21 -21ln + 35lnx = 21 Reorder the terms: -21 + -21ln + 35lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -21ln + 35lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-3 + -3ln + 5lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-3 + -3ln + 5lnx)' equal to zero and attempt to solve: Simplifying -3 + -3ln + 5lnx = 0 Solving -3 + -3ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3ln + 3 + 5lnx = 0 + 3 Reorder the terms: -3 + 3 + -3ln + 5lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3ln + 5lnx = 0 + 3 -3ln + 5lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -3ln + 5lnx = 3 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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