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Simplifying 5ln(4x + 7) = 35 Reorder the terms: 5ln(7 + 4x) = 35 (7 * 5ln + 4x * 5ln) = 35 (35ln + 20lnx) = 35 Solving 35ln + 20lnx = 35 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -35 + 35ln + 20lnx = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 35ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-7 + 7ln + 4lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + 7ln + 4lnx)' equal to zero and attempt to solve: Simplifying -7 + 7ln + 4lnx = 0 Solving -7 + 7ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7ln + 7 + 4lnx = 0 + 7 Reorder the terms: -7 + 7 + 7ln + 4lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7ln + 4lnx = 0 + 7 7ln + 4lnx = 0 + 7 Combine like terms: 0 + 7 = 7 7ln + 4lnx = 7 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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