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Simplifying Ln3x = 4lnx Solving n3xL = 4lnx Solving for variable 'n'. Reorder the terms: -4lnx + n3xL = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -4lnx + n3xL = 0 Factor out the Greatest Common Factor (GCF), 'nx'. nx(-4l + n2L) = 0Subproblem 1
Set the factor 'nx' equal to zero and attempt to solve: Simplifying nx = 0 Solving nx = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nx = 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 '(-4l + n2L)' equal to zero and attempt to solve: Simplifying -4l + n2L = 0 Solving -4l + n2L = 0 Move all terms containing n to the left, all other terms to the right. Add '4l' to each side of the equation. -4l + 4l + n2L = 0 + 4l Combine like terms: -4l + 4l = 0 0 + n2L = 0 + 4l n2L = 0 + 4l Remove the zero: n2L = 4l Divide each side by 'L'. n2 = 4lL-1 Simplifying n2 = 4lL-1 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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