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Simplifying Ln(10) + -1ln(x + -3) = ln(x) Reorder the terms for easier multiplication: 10nL + -1ln(x + -3) = ln(x) Reorder the terms: 10nL + -1ln(-3 + x) = ln(x) 10nL + (-3 * -1ln + x * -1ln) = ln(x) 10nL + (3ln + -1lnx) = ln(x) Reorder the terms: 3ln + -1lnx + 10nL = ln(x) Multiply ln * x 3ln + -1lnx + 10nL = lnx Solving 3ln + -1lnx + 10nL = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 3ln + -1lnx + -1lnx + 10nL = lnx + -1lnx Combine like terms: -1lnx + -1lnx = -2lnx 3ln + -2lnx + 10nL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 3ln + -2lnx + 10nL = 0 Add '-10nL' to each side of the equation. 3ln + -2lnx + 10nL + -10nL = 0 + -10nL Combine like terms: 10nL + -10nL = 0 3ln + -2lnx + 0 = 0 + -10nL 3ln + -2lnx = 0 + -10nL Remove the zero: 3ln + -2lnx = -10nL Combine like terms: -10nL + 10nL = 0 3ln + -2lnx + 10nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(3l + -2lx + 10L) = 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 '(3l + -2lx + 10L)' equal to zero and attempt to solve: Simplifying 3l + -2lx + 10L = 0 Reorder the terms: 10L + 3l + -2lx = 0 Solving 10L + 3l + -2lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-10L' to each side of the equation. 10L + 3l + -10L + -2lx = 0 + -10L Reorder the terms: 10L + -10L + 3l + -2lx = 0 + -10L Combine like terms: 10L + -10L = 0 0 + 3l + -2lx = 0 + -10L 3l + -2lx = 0 + -10L Remove the zero: 3l + -2lx = -10L 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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