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Simplifying 10lnx + -1(ln(x8)) = ln(2x + 24) Multiply ln * x8 10lnx + -1(lnx8) = ln(2x + 24) Reorder the terms: 10lnx + -1lnx8 = ln(24 + 2x) 10lnx + -1lnx8 = (24 * ln + 2x * ln) 10lnx + -1lnx8 = (24ln + 2lnx) Solving 10lnx + -1lnx8 = 24ln + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-24ln' to each side of the equation. 10lnx + -24ln + -1lnx8 = 24ln + -24ln + 2lnx Reorder the terms: -24ln + 10lnx + -1lnx8 = 24ln + -24ln + 2lnx Combine like terms: 24ln + -24ln = 0 -24ln + 10lnx + -1lnx8 = 0 + 2lnx -24ln + 10lnx + -1lnx8 = 2lnx Add '-2lnx' to each side of the equation. -24ln + 10lnx + -2lnx + -1lnx8 = 2lnx + -2lnx Combine like terms: 10lnx + -2lnx = 8lnx -24ln + 8lnx + -1lnx8 = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -24ln + 8lnx + -1lnx8 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-24 + 8x + -1x8) = 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 '(-24 + 8x + -1x8)' equal to zero and attempt to solve: Simplifying -24 + 8x + -1x8 = 0 Solving -24 + 8x + -1x8 = 0 Move all terms containing l to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 8x + 24 + -1x8 = 0 + 24 Reorder the terms: -24 + 24 + 8x + -1x8 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8x + -1x8 = 0 + 24 8x + -1x8 = 0 + 24 Combine like terms: 0 + 24 = 24 8x + -1x8 = 24 Add '-8x' to each side of the equation. 8x + -8x + -1x8 = 24 + -8x Combine like terms: 8x + -8x = 0 0 + -1x8 = 24 + -8x -1x8 = 24 + -8x Add 'x8' to each side of the equation. -1x8 + x8 = 24 + -8x + x8 Combine like terms: -1x8 + x8 = 0 0 = 24 + -8x + x8 Simplifying 0 = 24 + -8x + x8 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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