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Simplifying ln(-3x + -1) + -1ln(7) = 2 Reorder the terms: ln(-1 + -3x) + -1ln(7) = 2 (-1 * ln + -3x * ln) + -1ln(7) = 2 (-1ln + -3lnx) + -1ln(7) = 2 Reorder the terms for easier multiplication: -1ln + -3lnx + -1 * 7ln = 2 Multiply -1 * 7 -1ln + -3lnx + -7ln = 2 Reorder the terms: -1ln + -7ln + -3lnx = 2 Combine like terms: -1ln + -7ln = -8ln -8ln + -3lnx = 2 Solving -8ln + -3lnx = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -2 + -8ln + -3lnx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -8ln + -3lnx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 8ln + 3lnx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 8ln + 3lnx)' equal to zero and attempt to solve: Simplifying 2 + 8ln + 3lnx = 0 Solving 2 + 8ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 8ln + -2 + 3lnx = 0 + -2 Reorder the terms: 2 + -2 + 8ln + 3lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8ln + 3lnx = 0 + -2 8ln + 3lnx = 0 + -2 Combine like terms: 0 + -2 = -2 8ln + 3lnx = -2 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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