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Simplifying 3 + -5ln(x + 10) = 3 Reorder the terms: 3 + -5ln(10 + x) = 3 3 + (10 * -5ln + x * -5ln) = 3 3 + (-50ln + -5lnx) = 3 Add '-3' to each side of the equation. 3 + -50ln + -3 + -5lnx = 3 + -3 Reorder the terms: 3 + -3 + -50ln + -5lnx = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -50ln + -5lnx = 3 + -3 -50ln + -5lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -50ln + -5lnx = 0 Solving -50ln + -5lnx = 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), '-5ln'. -5ln(10 + x) = 0 Ignore the factor -5.Subproblem 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Add '-1x' to each side of the equation. x + -1x = -10 + -1x Combine like terms: x + -1x = 0 0 = -10 + -1x Simplifying 0 = -10 + -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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