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Simplifying Ln(4x + 26) = Ln(3x + 9) Reorder the terms: nL(26 + 4x) = Ln(3x + 9) (26 * nL + 4x * nL) = Ln(3x + 9) (26nL + 4nxL) = Ln(3x + 9) Reorder the terms: 26nL + 4nxL = nL(9 + 3x) 26nL + 4nxL = (9 * nL + 3x * nL) 26nL + 4nxL = (9nL + 3nxL) Solving 26nL + 4nxL = 9nL + 3nxL Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9nL' to each side of the equation. 26nL + -9nL + 4nxL = 9nL + -9nL + 3nxL Combine like terms: 26nL + -9nL = 17nL 17nL + 4nxL = 9nL + -9nL + 3nxL Combine like terms: 9nL + -9nL = 0 17nL + 4nxL = 0 + 3nxL 17nL + 4nxL = 3nxL Add '-3nxL' to each side of the equation. 17nL + 4nxL + -3nxL = 3nxL + -3nxL Combine like terms: 4nxL + -3nxL = 1nxL 17nL + 1nxL = 3nxL + -3nxL Combine like terms: 3nxL + -3nxL = 0 17nL + 1nxL = 0 Factor out the Greatest Common Factor (GCF), 'nL'. nL(17 + x) = 0Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve: Simplifying nL = 0 Solving nL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nL = 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 '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Add '-1x' to each side of the equation. x + -1x = -17 + -1x Combine like terms: x + -1x = 0 0 = -17 + -1x Simplifying 0 = -17 + -1x 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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