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Simplifying ln(x2) = ln(3x5 + 1) Multiply ln * x2 lnx2 = ln(3x5 + 1) Reorder the terms: lnx2 = ln(1 + 3x5) lnx2 = (1 * ln + 3x5 * ln) lnx2 = (1ln + 3lnx5) Solving lnx2 = 1ln + 3lnx5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. -1ln + lnx2 = 1ln + -1ln + 3lnx5 Combine like terms: 1ln + -1ln = 0 -1ln + lnx2 = 0 + 3lnx5 -1ln + lnx2 = 3lnx5 Add '-3lnx5' to each side of the equation. -1ln + lnx2 + -3lnx5 = 3lnx5 + -3lnx5 Combine like terms: 3lnx5 + -3lnx5 = 0 -1ln + lnx2 + -3lnx5 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1 + x2 + -3x5) = 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 + x2 + -3x5)' equal to zero and attempt to solve: Simplifying -1 + x2 + -3x5 = 0 Solving -1 + x2 + -3x5 = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x2 + 1 + -3x5 = 0 + 1 Reorder the terms: -1 + 1 + x2 + -3x5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x2 + -3x5 = 0 + 1 x2 + -3x5 = 0 + 1 Combine like terms: 0 + 1 = 1 x2 + -3x5 = 1 Add '-1x2' to each side of the equation. x2 + -1x2 + -3x5 = 1 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -3x5 = 1 + -1x2 -3x5 = 1 + -1x2 Add '3x5' to each side of the equation. -3x5 + 3x5 = 1 + -1x2 + 3x5 Combine like terms: -3x5 + 3x5 = 0 0 = 1 + -1x2 + 3x5 Simplifying 0 = 1 + -1x2 + 3x5 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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