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Simplifying 2ln(2) + ln(7) = ln(x) Reorder the terms for easier multiplication: 2 * 2ln + ln(7) = ln(x) Multiply 2 * 2 4ln + ln(7) = ln(x) Reorder the terms for easier multiplication: 4ln + 7ln = ln(x) Combine like terms: 4ln + 7ln = 11ln 11ln = ln(x) Multiply ln * x 11ln = lnx Solving 11ln = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 11ln + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 11ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(11 + -1x) = 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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Add 'x' to each side of the equation. -1x + x = -11 + x Combine like terms: -1x + x = 0 0 = -11 + x Simplifying 0 = -11 + 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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