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Simplifying 5ln(4x + 2) = 30 Reorder the terms: 5ln(2 + 4x) = 30 (2 * 5ln + 4x * 5ln) = 30 (10ln + 20lnx) = 30 Solving 10ln + 20lnx = 30 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -30 + 10ln + 20lnx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 10ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-3 + ln + 2lnx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-3 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -3 + ln + 2lnx = 0 Solving -3 + ln + 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 + ln + 3 + 2lnx = 0 + 3 Reorder the terms: -3 + 3 + ln + 2lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + ln + 2lnx = 0 + 3 ln + 2lnx = 0 + 3 Combine like terms: 0 + 3 = 3 ln + 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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