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Simplifying lnx3 = 7lnx Solving lnx3 = 7lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7lnx' to each side of the equation. -7lnx + lnx3 = 7lnx + -7lnx Combine like terms: 7lnx + -7lnx = 0 -7lnx + lnx3 = 0 Factor out the Greatest Common Factor (GCF), 'lnx'. lnx(-7 + x2) = 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 '(-7 + x2)' equal to zero and attempt to solve: Simplifying -7 + x2 = 0 Solving -7 + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x2 = 0 + 7 x2 = 0 + 7 Combine like terms: 0 + 7 = 7 x2 = 7 Add '-1x2' to each side of the equation. x2 + -1x2 = 7 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 7 + -1x2 Simplifying 0 = 7 + -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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