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Simplifying Lnx + ln(x + 4) = ln(5) Reorder the terms: nxL + ln(4 + x) = ln(5) nxL + (4 * ln + x * ln) = ln(5) nxL + (4ln + lnx) = ln(5) Reorder the terms: 4ln + lnx + nxL = ln(5) Reorder the terms for easier multiplication: 4ln + lnx + nxL = 5ln Solving 4ln + lnx + nxL = 5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 4ln + lnx + -5ln + nxL = 5ln + -5ln Reorder the terms: 4ln + -5ln + lnx + nxL = 5ln + -5ln Combine like terms: 4ln + -5ln = -1ln -1ln + lnx + nxL = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 -1ln + lnx + nxL = 0 Add '-1nxL' to each side of the equation. -1ln + lnx + nxL + -1nxL = 0 + -1nxL Combine like terms: nxL + -1nxL = 0 -1ln + lnx + 0 = 0 + -1nxL -1ln + lnx = 0 + -1nxL Remove the zero: -1ln + lnx = -1nxL Combine like terms: -1nxL + nxL = 0 -1ln + lnx + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1l + lx + xL) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-1l + lx + xL)' equal to zero and attempt to solve: Simplifying -1l + lx + xL = 0 Solving -1l + lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1xL' to each side of the equation. -1l + lx + xL + -1xL = 0 + -1xL Combine like terms: xL + -1xL = 0 -1l + lx + 0 = 0 + -1xL -1l + lx = 0 + -1xL Remove the zero: -1l + lx = -1xL 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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