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Simplifying 7ln(2x + -5) = 21 Reorder the terms: 7ln(-5 + 2x) = 21 (-5 * 7ln + 2x * 7ln) = 21 (-35ln + 14lnx) = 21 Solving -35ln + 14lnx = 21 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -21 + -35ln + 14lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -35ln + 14lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-3 + -5ln + 2lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-3 + -5ln + 2lnx)' equal to zero and attempt to solve: Simplifying -3 + -5ln + 2lnx = 0 Solving -3 + -5ln + 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 + -5ln + 3 + 2lnx = 0 + 3 Reorder the terms: -3 + 3 + -5ln + 2lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5ln + 2lnx = 0 + 3 -5ln + 2lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -5ln + 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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