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Simplifying 2ln(x + 5) + ln * 2 = ln * 36 + -1ln * 2 Reorder the terms: 2ln(5 + x) + ln * 2 = ln * 36 + -1ln * 2 (5 * 2ln + x * 2ln) + ln * 2 = ln * 36 + -1ln * 2 (10ln + 2lnx) + ln * 2 = ln * 36 + -1ln * 2 Reorder the terms for easier multiplication: 10ln + 2lnx + 2ln = ln * 36 + -1ln * 2 Reorder the terms: 10ln + 2ln + 2lnx = ln * 36 + -1ln * 2 Combine like terms: 10ln + 2ln = 12ln 12ln + 2lnx = ln * 36 + -1ln * 2 Reorder the terms for easier multiplication: 12ln + 2lnx = 36ln + -1ln * 2 Reorder the terms for easier multiplication: 12ln + 2lnx = 36ln + -1 * 2ln Multiply -1 * 2 12ln + 2lnx = 36ln + -2ln Combine like terms: 36ln + -2ln = 34ln 12ln + 2lnx = 34ln Solving 12ln + 2lnx = 34ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-34ln' to each side of the equation. 12ln + -34ln + 2lnx = 34ln + -34ln Combine like terms: 12ln + -34ln = -22ln -22ln + 2lnx = 34ln + -34ln Combine like terms: 34ln + -34ln = 0 -22ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(-11 + x) = 0 Ignore the factor 2.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 '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Add '-1x' to each side of the equation. x + -1x = 11 + -1x Combine like terms: x + -1x = 0 0 = 11 + -1x Simplifying 0 = 11 + -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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