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Simplifying 2ln(5) = 7xln(5) + -1xln(3) Reorder the terms for easier multiplication: 2 * 5ln = 7xln(5) + -1xln(3) Multiply 2 * 5 10ln = 7xln(5) + -1xln(3) Reorder the terms for easier multiplication: 10ln = 7 * 5lnx + -1xln(3) Multiply 7 * 5 10ln = 35lnx + -1xln(3) Reorder the terms for easier multiplication: 10ln = 35lnx + -1 * 3lnx Multiply -1 * 3 10ln = 35lnx + -3lnx Combine like terms: 35lnx + -3lnx = 32lnx 10ln = 32lnx Solving 10ln = 32lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-32lnx' to each side of the equation. 10ln + -32lnx = 32lnx + -32lnx Combine like terms: 32lnx + -32lnx = 0 10ln + -32lnx = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(5 + -16x) = 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 '(5 + -16x)' equal to zero and attempt to solve: Simplifying 5 + -16x = 0 Solving 5 + -16x = 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 + -16x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = 0 + -5 -16x = 0 + -5 Combine like terms: 0 + -5 = -5 -16x = -5 Add '16x' to each side of the equation. -16x + 16x = -5 + 16x Combine like terms: -16x + 16x = 0 0 = -5 + 16x Simplifying 0 = -5 + 16x 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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