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Simplifying 2Ln(x) + ln(38) = ln(19) + ln(x) Multiply nL * x 2nxL + ln(38) = ln(19) + ln(x) Reorder the terms for easier multiplication: 2nxL + 38ln = ln(19) + ln(x) Reorder the terms: 38ln + 2nxL = ln(19) + ln(x) Reorder the terms for easier multiplication: 38ln + 2nxL = 19ln + ln(x) Multiply ln * x 38ln + 2nxL = 19ln + lnx Solving 38ln + 2nxL = 19ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-19ln' to each side of the equation. 38ln + -19ln + 2nxL = 19ln + -19ln + lnx Combine like terms: 38ln + -19ln = 19ln 19ln + 2nxL = 19ln + -19ln + lnx Combine like terms: 19ln + -19ln = 0 19ln + 2nxL = 0 + lnx 19ln + 2nxL = lnx Add '-1lnx' to each side of the equation. 19ln + -1lnx + 2nxL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 19ln + -1lnx + 2nxL = 0 Add '-2nxL' to each side of the equation. 19ln + -1lnx + 2nxL + -2nxL = 0 + -2nxL Combine like terms: 2nxL + -2nxL = 0 19ln + -1lnx + 0 = 0 + -2nxL 19ln + -1lnx = 0 + -2nxL Remove the zero: 19ln + -1lnx = -2nxL Combine like terms: -2nxL + 2nxL = 0 19ln + -1lnx + 2nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(19l + -1lx + 2xL) = 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 '(19l + -1lx + 2xL)' equal to zero and attempt to solve: Simplifying 19l + -1lx + 2xL = 0 Solving 19l + -1lx + 2xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-2xL' to each side of the equation. 19l + -1lx + 2xL + -2xL = 0 + -2xL Combine like terms: 2xL + -2xL = 0 19l + -1lx + 0 = 0 + -2xL 19l + -1lx = 0 + -2xL Remove the zero: 19l + -1lx = -2xL 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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