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Simplifying ln * 20 = ln * 4 + ln(x + -7) Reorder the terms for easier multiplication: 20ln = ln * 4 + ln(x + -7) Reorder the terms for easier multiplication: 20ln = 4ln + ln(x + -7) Reorder the terms: 20ln = 4ln + ln(-7 + x) 20ln = 4ln + (-7 * ln + x * ln) 20ln = 4ln + (-7ln + lnx) Combine like terms: 4ln + -7ln = -3ln 20ln = -3ln + lnx Solving 20ln = -3ln + lnx 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. 20ln + 3ln = -3ln + 3ln + lnx Combine like terms: 20ln + 3ln = 23ln 23ln = -3ln + 3ln + lnx Combine like terms: -3ln + 3ln = 0 23ln = 0 + lnx 23ln = lnx Add '-1lnx' to each side of the equation. 23ln + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 23ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(23 + -1x) = 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 '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Add 'x' to each side of the equation. -1x + x = -23 + x Combine like terms: -1x + x = 0 0 = -23 + x Simplifying 0 = -23 + x 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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