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Simplifying Ln(36) + -1ln(2) = ln(x) Reorder the terms for easier multiplication: 36nL + -1ln(2) = ln(x) Reorder the terms for easier multiplication: 36nL + -1 * 2ln = ln(x) Multiply -1 * 2 36nL + -2ln = ln(x) Reorder the terms: -2ln + 36nL = ln(x) Multiply ln * x -2ln + 36nL = lnx Solving -2ln + 36nL = 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. -2ln + -1lnx + 36nL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -2ln + -1lnx + 36nL = 0 Add '-36nL' to each side of the equation. -2ln + -1lnx + 36nL + -36nL = 0 + -36nL Combine like terms: 36nL + -36nL = 0 -2ln + -1lnx + 0 = 0 + -36nL -2ln + -1lnx = 0 + -36nL Remove the zero: -2ln + -1lnx = -36nL Combine like terms: -36nL + 36nL = 0 -2ln + -1lnx + 36nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-2l + -1lx + 36L) = 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 '(-2l + -1lx + 36L)' equal to zero and attempt to solve: Simplifying -2l + -1lx + 36L = 0 Reorder the terms: 36L + -2l + -1lx = 0 Solving 36L + -2l + -1lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-36L' to each side of the equation. 36L + -2l + -36L + -1lx = 0 + -36L Reorder the terms: 36L + -36L + -2l + -1lx = 0 + -36L Combine like terms: 36L + -36L = 0 0 + -2l + -1lx = 0 + -36L -2l + -1lx = 0 + -36L Remove the zero: -2l + -1lx = -36L 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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