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Simplifying ln(x + 5) + ln(17) = ln(6) Reorder the terms: ln(5 + x) + ln(17) = ln(6) (5 * ln + x * ln) + ln(17) = ln(6) (5ln + lnx) + ln(17) = ln(6) Reorder the terms for easier multiplication: 5ln + lnx + 17ln = ln(6) Reorder the terms: 5ln + 17ln + lnx = ln(6) Combine like terms: 5ln + 17ln = 22ln 22ln + lnx = ln(6) Reorder the terms for easier multiplication: 22ln + lnx = 6ln Solving 22ln + lnx = 6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 22ln + -6ln + lnx = 6ln + -6ln Combine like terms: 22ln + -6ln = 16ln 16ln + lnx = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 16ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(16 + 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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Add '-1x' to each side of the equation. x + -1x = -16 + -1x Combine like terms: x + -1x = 0 0 = -16 + -1x Simplifying 0 = -16 + -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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