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Simplifying 15ln(4x + -3) = 48 Reorder the terms: 15ln(-3 + 4x) = 48 (-3 * 15ln + 4x * 15ln) = 48 (-45ln + 60lnx) = 48 Solving -45ln + 60lnx = 48 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -48 + -45ln + 60lnx = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -45ln + 60lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + -15ln + 20lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-16 + -15ln + 20lnx)' equal to zero and attempt to solve: Simplifying -16 + -15ln + 20lnx = 0 Solving -16 + -15ln + 20lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -15ln + 16 + 20lnx = 0 + 16 Reorder the terms: -16 + 16 + -15ln + 20lnx = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -15ln + 20lnx = 0 + 16 -15ln + 20lnx = 0 + 16 Combine like terms: 0 + 16 = 16 -15ln + 20lnx = 16 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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