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Simplifying ln(x) + -1ln(24) = ln(8) Multiply ln * x lnx + -1ln(24) = ln(8) Reorder the terms for easier multiplication: lnx + -1 * 24ln = ln(8) Multiply -1 * 24 lnx + -24ln = ln(8) Reorder the terms: -24ln + lnx = ln(8) Reorder the terms for easier multiplication: -24ln + lnx = 8ln Solving -24ln + lnx = 8ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8ln' to each side of the equation. -24ln + -8ln + lnx = 8ln + -8ln Combine like terms: -24ln + -8ln = -32ln -32ln + lnx = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 -32ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-32 + 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 '(-32 + x)' equal to zero and attempt to solve: Simplifying -32 + x = 0 Solving -32 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + x = 0 + 32 x = 0 + 32 Combine like terms: 0 + 32 = 32 x = 32 Add '-1x' to each side of the equation. x + -1x = 32 + -1x Combine like terms: x + -1x = 0 0 = 32 + -1x Simplifying 0 = 32 + -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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