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Simplifying ln(8x2) + ln(6x) = 0 Remove parenthesis around (8x2) ln * 8x2 + ln(6x) = 0 Reorder the terms for easier multiplication: 8ln * x2 + ln(6x) = 0 Multiply ln * x2 8lnx2 + ln(6x) = 0 Remove parenthesis around (6x) 8lnx2 + ln * 6x = 0 Reorder the terms for easier multiplication: 8lnx2 + 6ln * x = 0 Multiply ln * x 8lnx2 + 6lnx = 0 Reorder the terms: 6lnx + 8lnx2 = 0 Solving 6lnx + 8lnx2 = 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), '2lnx'. 2lnx(3 + 4x) = 0 Ignore the factor 2.Subproblem 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Add '-4x' to each side of the equation. 4x + -4x = -3 + -4x Combine like terms: 4x + -4x = 0 0 = -3 + -4x Simplifying 0 = -3 + -4x 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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