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