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