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Simplifying Ln(x2) = ln(4x) Multiply nL * x2 nx2L = ln(4x) Remove parenthesis around (4x) nx2L = ln * 4x Reorder the terms for easier multiplication: nx2L = 4ln * x Multiply ln * x nx2L = 4lnx Solving nx2L = 4lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4lnx' to each side of the equation. -4lnx + nx2L = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -4lnx + nx2L = 0 Factor out the Greatest Common Factor (GCF), 'nx'. nx(-4l + xL) = 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 + xL)' equal to zero and attempt to solve: Simplifying -4l + xL = 0 Solving -4l + xL = 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 + xL = 0 + 4l Combine like terms: -4l + 4l = 0 0 + xL = 0 + 4l xL = 0 + 4l Remove the zero: xL = 4l Add '-1xL' to each side of the equation. xL + -1xL = 4l + -1xL Combine like terms: xL + -1xL = 0 0 = 4l + -1xL Simplifying 0 = 4l + -1xL 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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