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Simplifying ln(20) + ln(5) = (5) * ln(x) Reorder the terms for easier multiplication: 20ln + ln(5) = (5) * ln(x) Reorder the terms for easier multiplication: 20ln + 5ln = (5) * ln(x) Combine like terms: 20ln + 5ln = 25ln 25ln = (5) * ln(x) Multiply ln * x 25ln = 5lnx Solving 25ln = 5lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5lnx' to each side of the equation. 25ln + -5lnx = 5lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 25ln + -5lnx = 0 Factor out the Greatest Common Factor (GCF), '5ln'. 5ln(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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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