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Simplifying 4ln(2x) + -1ln(9x2) = 0 Remove parenthesis around (2x) 4ln * 2x + -1ln(9x2) = 0 Reorder the terms for easier multiplication: 4 * 2ln * x + -1ln(9x2) = 0 Multiply 4 * 2 8ln * x + -1ln(9x2) = 0 Multiply ln * x 8lnx + -1ln(9x2) = 0 Remove parenthesis around (9x2) 8lnx + -1ln * 9x2 = 0 Reorder the terms for easier multiplication: 8lnx + -1 * 9ln * x2 = 0 Multiply -1 * 9 8lnx + -9ln * x2 = 0 Multiply ln * x2 8lnx + -9lnx2 = 0 Solving 8lnx + -9lnx2 = 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), 'lnx'. lnx(8 + -9x) = 0Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Add '9x' to each side of the equation. -9x + 9x = -8 + 9x Combine like terms: -9x + 9x = 0 0 = -8 + 9x Simplifying 0 = -8 + 9x 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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