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Simplifying ln(3x + -5) + -1ln(25) + ln(x + -5) = 0 Reorder the terms: ln(-5 + 3x) + -1ln(25) + ln(x + -5) = 0 (-5 * ln + 3x * ln) + -1ln(25) + ln(x + -5) = 0 (-5ln + 3lnx) + -1ln(25) + ln(x + -5) = 0 Reorder the terms for easier multiplication: -5ln + 3lnx + -1 * 25ln + ln(x + -5) = 0 Multiply -1 * 25 -5ln + 3lnx + -25ln + ln(x + -5) = 0 Reorder the terms: -5ln + 3lnx + -25ln + ln(-5 + x) = 0 -5ln + 3lnx + -25ln + (-5 * ln + x * ln) = 0 -5ln + 3lnx + -25ln + (-5ln + lnx) = 0 Reorder the terms: -5ln + -25ln + -5ln + 3lnx + lnx = 0 Combine like terms: -5ln + -25ln = -30ln -30ln + -5ln + 3lnx + lnx = 0 Combine like terms: -30ln + -5ln = -35ln -35ln + 3lnx + lnx = 0 Combine like terms: 3lnx + lnx = 4lnx -35ln + 4lnx = 0 Solving -35ln + 4lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(-35 + 4x) = 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 '(-35 + 4x)' equal to zero and attempt to solve: Simplifying -35 + 4x = 0 Solving -35 + 4x = 0 Move all terms containing l to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 4x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = 0 + 35 4x = 0 + 35 Combine like terms: 0 + 35 = 35 4x = 35 Add '-4x' to each side of the equation. 4x + -4x = 35 + -4x Combine like terms: 4x + -4x = 0 0 = 35 + -4x Simplifying 0 = 35 + -4x 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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