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Simplifying ln(4x) + -1ln(x + 7) = 0 Remove parenthesis around (4x) ln * 4x + -1ln(x + 7) = 0 Reorder the terms for easier multiplication: 4ln * x + -1ln(x + 7) = 0 Multiply ln * x 4lnx + -1ln(x + 7) = 0 Reorder the terms: 4lnx + -1ln(7 + x) = 0 4lnx + (7 * -1ln + x * -1ln) = 0 4lnx + (-7ln + -1lnx) = 0 Reorder the terms: -7ln + 4lnx + -1lnx = 0 Combine like terms: 4lnx + -1lnx = 3lnx -7ln + 3lnx = 0 Solving -7ln + 3lnx = 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(-7 + 3x) = 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 '(-7 + 3x)' equal to zero and attempt to solve: Simplifying -7 + 3x = 0 Solving -7 + 3x = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Add '-3x' to each side of the equation. 3x + -3x = 7 + -3x Combine like terms: 3x + -3x = 0 0 = 7 + -3x Simplifying 0 = 7 + -3x 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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