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Simplifying Ln(2) + ln(-5x) = ln(18) Reorder the terms for easier multiplication: 2nL + ln(-5x) = ln(18) Remove parenthesis around (-5x) 2nL + ln * -5x = ln(18) Reorder the terms for easier multiplication: 2nL + -5ln * x = ln(18) Multiply ln * x 2nL + -5lnx = ln(18) Reorder the terms: -5lnx + 2nL = ln(18) Reorder the terms for easier multiplication: -5lnx + 2nL = 18ln Solving -5lnx + 2nL = 18ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-18ln' to each side of the equation. -5lnx + -18ln + 2nL = 18ln + -18ln Reorder the terms: -18ln + -5lnx + 2nL = 18ln + -18ln Combine like terms: 18ln + -18ln = 0 -18ln + -5lnx + 2nL = 0 Add '-2nL' to each side of the equation. -18ln + -5lnx + 2nL + -2nL = 0 + -2nL Combine like terms: 2nL + -2nL = 0 -18ln + -5lnx + 0 = 0 + -2nL -18ln + -5lnx = 0 + -2nL Remove the zero: -18ln + -5lnx = -2nL Combine like terms: -2nL + 2nL = 0 -18ln + -5lnx + 2nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-18l + -5lx + 2L) = 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 '(-18l + -5lx + 2L)' equal to zero and attempt to solve: Simplifying -18l + -5lx + 2L = 0 Reorder the terms: 2L + -18l + -5lx = 0 Solving 2L + -18l + -5lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -18l + -2L + -5lx = 0 + -2L Reorder the terms: 2L + -2L + -18l + -5lx = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -18l + -5lx = 0 + -2L -18l + -5lx = 0 + -2L Remove the zero: -18l + -5lx = -2L 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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