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Simplifying 4ln(x + 7) = 36 Reorder the terms: 4ln(7 + x) = 36 (7 * 4ln + x * 4ln) = 36 (28ln + 4lnx) = 36 Solving 28ln + 4lnx = 36 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -36 + 28ln + 4lnx = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 28ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + 7ln + lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + 7ln + lnx)' equal to zero and attempt to solve: Simplifying -9 + 7ln + lnx = 0 Solving -9 + 7ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 7ln + 9 + lnx = 0 + 9 Reorder the terms: -9 + 9 + 7ln + lnx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7ln + lnx = 0 + 9 7ln + lnx = 0 + 9 Combine like terms: 0 + 9 = 9 7ln + lnx = 9 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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