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Simplifying 0 = 6ln(x5) + -1ln(x7) Multiply ln * x5 0 = 6lnx5 + -1ln(x7) Multiply ln * x7 0 = 6lnx5 + -1lnx7 Solving 0 = 6lnx5 + -1lnx7 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6lnx5' to each side of the equation. 0 + -6lnx5 = 6lnx5 + -6lnx5 + -1lnx7 Remove the zero: -6lnx5 = 6lnx5 + -6lnx5 + -1lnx7 Combine like terms: 6lnx5 + -6lnx5 = 0 -6lnx5 = 0 + -1lnx7 -6lnx5 = -1lnx7 Add 'lnx7' to each side of the equation. -6lnx5 + lnx7 = -1lnx7 + lnx7 Combine like terms: -1lnx7 + lnx7 = 0 -6lnx5 + lnx7 = 0 Factor out the Greatest Common Factor (GCF), 'lnx5'. lnx5(-6 + x2) = 0Subproblem 1
Set the factor 'lnx5' equal to zero and attempt to solve: Simplifying lnx5 = 0 Solving lnx5 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx5 = 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 '(-6 + x2)' equal to zero and attempt to solve: Simplifying -6 + x2 = 0 Solving -6 + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x2 = 0 + 6 x2 = 0 + 6 Combine like terms: 0 + 6 = 6 x2 = 6 Add '-1x2' to each side of the equation. x2 + -1x2 = 6 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 6 + -1x2 Simplifying 0 = 6 + -1x2 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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