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Simplifying ln(6x + 1) + lnx = 0 Reorder the terms: ln(1 + 6x) + lnx = 0 (1 * ln + 6x * ln) + lnx = 0 (1ln + 6lnx) + lnx = 0 Combine like terms: 6lnx + lnx = 7lnx 1ln + 7lnx = 0 Solving 1ln + 7lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(1 + 7x) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Add '-7x' to each side of the equation. 7x + -7x = -1 + -7x Combine like terms: 7x + -7x = 0 0 = -1 + -7x Simplifying 0 = -1 + -7x 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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