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Simplifying ln(3) = 2ln(7x) Reorder the terms for easier multiplication: 3ln = 2ln(7x) Remove parenthesis around (7x) 3ln = 2ln * 7x Reorder the terms for easier multiplication: 3ln = 2 * 7ln * x Multiply 2 * 7 3ln = 14ln * x Multiply ln * x 3ln = 14lnx Solving 3ln = 14lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14lnx' to each side of the equation. 3ln + -14lnx = 14lnx + -14lnx Combine like terms: 14lnx + -14lnx = 0 3ln + -14lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(3 + -14x) = 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 '(3 + -14x)' equal to zero and attempt to solve: Simplifying 3 + -14x = 0 Solving 3 + -14x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -14x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = 0 + -3 -14x = 0 + -3 Combine like terms: 0 + -3 = -3 -14x = -3 Add '14x' to each side of the equation. -14x + 14x = -3 + 14x Combine like terms: -14x + 14x = 0 0 = -3 + 14x Simplifying 0 = -3 + 14x 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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