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Simplifying 5ln(6x + 7) = 20 Reorder the terms: 5ln(7 + 6x) = 20 (7 * 5ln + 6x * 5ln) = 20 (35ln + 30lnx) = 20 Solving 35ln + 30lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -20 + 35ln + 30lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 35ln + 30lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + 7ln + 6lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + 7ln + 6lnx)' equal to zero and attempt to solve: Simplifying -4 + 7ln + 6lnx = 0 Solving -4 + 7ln + 6lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 7ln + 4 + 6lnx = 0 + 4 Reorder the terms: -4 + 4 + 7ln + 6lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7ln + 6lnx = 0 + 4 7ln + 6lnx = 0 + 4 Combine like terms: 0 + 4 = 4 7ln + 6lnx = 4 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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