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Simplifying ln(4) + ln(5x) = ln(18) Reorder the terms for easier multiplication: 4ln + ln(5x) = ln(18) Remove parenthesis around (5x) 4ln + ln * 5x = ln(18) Reorder the terms for easier multiplication: 4ln + 5ln * x = ln(18) Multiply ln * x 4ln + 5lnx = ln(18) Reorder the terms for easier multiplication: 4ln + 5lnx = 18ln Solving 4ln + 5lnx = 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. 4ln + -18ln + 5lnx = 18ln + -18ln Combine like terms: 4ln + -18ln = -14ln -14ln + 5lnx = 18ln + -18ln Combine like terms: 18ln + -18ln = 0 -14ln + 5lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-14 + 5x) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 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 '(-14 + 5x)' equal to zero and attempt to solve: Simplifying -14 + 5x = 0 Solving -14 + 5x = 0 Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 0 + 14 5x = 0 + 14 Combine like terms: 0 + 14 = 14 5x = 14 Add '-5x' to each side of the equation. 5x + -5x = 14 + -5x Combine like terms: 5x + -5x = 0 0 = 14 + -5x Simplifying 0 = 14 + -5x 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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