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Simplifying 6ln(9x + 9) + 10 = 34 Reorder the terms: 6ln(9 + 9x) + 10 = 34 (9 * 6ln + 9x * 6ln) + 10 = 34 (54ln + 54lnx) + 10 = 34 Reorder the terms: 10 + 54ln + 54lnx = 34 Solving 10 + 54ln + 54lnx = 34 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 54ln + -10 + 54lnx = 34 + -10 Reorder the terms: 10 + -10 + 54ln + 54lnx = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 54ln + 54lnx = 34 + -10 54ln + 54lnx = 34 + -10 Combine like terms: 34 + -10 = 24 54ln + 54lnx = 24 Reorder the terms: -24 + 54ln + 54lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 54ln + 54lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + 9ln + 9lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + 9ln + 9lnx)' equal to zero and attempt to solve: Simplifying -4 + 9ln + 9lnx = 0 Solving -4 + 9ln + 9lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 9ln + 4 + 9lnx = 0 + 4 Reorder the terms: -4 + 4 + 9ln + 9lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9ln + 9lnx = 0 + 4 9ln + 9lnx = 0 + 4 Combine like terms: 0 + 4 = 4 9ln + 9lnx = 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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