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Simplifying ln(x) = ln(8) + ln(2) Multiply ln * x lnx = ln(8) + ln(2) Reorder the terms for easier multiplication: lnx = 8ln + ln(2) Reorder the terms for easier multiplication: lnx = 8ln + 2ln Combine like terms: 8ln + 2ln = 10ln lnx = 10ln Solving lnx = 10ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10ln' to each side of the equation. -10ln + lnx = 10ln + -10ln Combine like terms: 10ln + -10ln = 0 -10ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-10 + x) = 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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -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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