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