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Simplifying ln(x4) + ln(3x5) + -2ln(x) = 0 Multiply ln * x4 lnx4 + ln(3x5) + -2ln(x) = 0 Remove parenthesis around (3x5) lnx4 + ln * 3x5 + -2ln(x) = 0 Reorder the terms for easier multiplication: lnx4 + 3ln * x5 + -2ln(x) = 0 Multiply ln * x5 lnx4 + 3lnx5 + -2ln(x) = 0 Multiply ln * x lnx4 + 3lnx5 + -2lnx = 0 Reorder the terms: -2lnx + lnx4 + 3lnx5 = 0 Solving -2lnx + lnx4 + 3lnx5 = 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 + x3 + 3x4) = 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 + x3 + 3x4)' equal to zero and attempt to solve: Simplifying -2 + x3 + 3x4 = 0 Solving -2 + x3 + 3x4 = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + x3 + 2 + 3x4 = 0 + 2 Reorder the terms: -2 + 2 + x3 + 3x4 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x3 + 3x4 = 0 + 2 x3 + 3x4 = 0 + 2 Combine like terms: 0 + 2 = 2 x3 + 3x4 = 2 Add '-1x3' to each side of the equation. x3 + -1x3 + 3x4 = 2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + 3x4 = 2 + -1x3 3x4 = 2 + -1x3 Add '-3x4' to each side of the equation. 3x4 + -3x4 = 2 + -1x3 + -3x4 Combine like terms: 3x4 + -3x4 = 0 0 = 2 + -1x3 + -3x4 Simplifying 0 = 2 + -1x3 + -3x4 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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