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Simplifying 7 + -4ln(x + 5) = 13 Reorder the terms: 7 + -4ln(5 + x) = 13 7 + (5 * -4ln + x * -4ln) = 13 7 + (-20ln + -4lnx) = 13 Solving 7 + -20ln + -4lnx = 13 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -20ln + -7 + -4lnx = 13 + -7 Reorder the terms: 7 + -7 + -20ln + -4lnx = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -20ln + -4lnx = 13 + -7 -20ln + -4lnx = 13 + -7 Combine like terms: 13 + -7 = 6 -20ln + -4lnx = 6 Reorder the terms: -6 + -20ln + -4lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -20ln + -4lnx = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(3 + 10ln + 2lnx) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + 10ln + 2lnx)' equal to zero and attempt to solve: Simplifying 3 + 10ln + 2lnx = 0 Solving 3 + 10ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10ln + -3 + 2lnx = 0 + -3 Reorder the terms: 3 + -3 + 10ln + 2lnx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10ln + 2lnx = 0 + -3 10ln + 2lnx = 0 + -3 Combine like terms: 0 + -3 = -3 10ln + 2lnx = -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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