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Simplifying 20ln(2x + 7) + 10 = 70 Reorder the terms: 20ln(7 + 2x) + 10 = 70 (7 * 20ln + 2x * 20ln) + 10 = 70 (140ln + 40lnx) + 10 = 70 Reorder the terms: 10 + 140ln + 40lnx = 70 Solving 10 + 140ln + 40lnx = 70 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 140ln + -10 + 40lnx = 70 + -10 Reorder the terms: 10 + -10 + 140ln + 40lnx = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 140ln + 40lnx = 70 + -10 140ln + 40lnx = 70 + -10 Combine like terms: 70 + -10 = 60 140ln + 40lnx = 60 Reorder the terms: -60 + 140ln + 40lnx = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 140ln + 40lnx = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-3 + 7ln + 2lnx) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-3 + 7ln + 2lnx)' equal to zero and attempt to solve: Simplifying -3 + 7ln + 2lnx = 0 Solving -3 + 7ln + 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 + 7ln + 3 + 2lnx = 0 + 3 Reorder the terms: -3 + 3 + 7ln + 2lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7ln + 2lnx = 0 + 3 7ln + 2lnx = 0 + 3 Combine like terms: 0 + 3 = 3 7ln + 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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