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Simplifying 3lnx + ln(9 + -1(8x3)) = 0 Remove parenthesis around (8x3) 3lnx + ln(9 + -1 * 8x3) = 0 Multiply -1 * 8 3lnx + ln(9 + -8x3) = 0 3lnx + (9 * ln + -8x3 * ln) = 0 3lnx + (9ln + -8lnx3) = 0 Reorder the terms: 9ln + 3lnx + -8lnx3 = 0 Solving 9ln + 3lnx + -8lnx3 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(9 + 3x + -8x3) = 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 '(9 + 3x + -8x3)' equal to zero and attempt to solve: Simplifying 9 + 3x + -8x3 = 0 Solving 9 + 3x + -8x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3x + -9 + -8x3 = 0 + -9 Reorder the terms: 9 + -9 + 3x + -8x3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3x + -8x3 = 0 + -9 3x + -8x3 = 0 + -9 Combine like terms: 0 + -9 = -9 3x + -8x3 = -9 Add '-3x' to each side of the equation. 3x + -3x + -8x3 = -9 + -3x Combine like terms: 3x + -3x = 0 0 + -8x3 = -9 + -3x -8x3 = -9 + -3x Add '8x3' to each side of the equation. -8x3 + 8x3 = -9 + -3x + 8x3 Combine like terms: -8x3 + 8x3 = 0 0 = -9 + -3x + 8x3 Simplifying 0 = -9 + -3x + 8x3 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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