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