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Simplifying Ln(x) + ln(4x) = ln(16) Multiply nL * x nxL + ln(4x) = ln(16) Remove parenthesis around (4x) nxL + ln * 4x = ln(16) Reorder the terms for easier multiplication: nxL + 4ln * x = ln(16) Multiply ln * x nxL + 4lnx = ln(16) Reorder the terms: 4lnx + nxL = ln(16) Reorder the terms for easier multiplication: 4lnx + nxL = 16ln Solving 4lnx + nxL = 16ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-16ln' to each side of the equation. 4lnx + -16ln + nxL = 16ln + -16ln Reorder the terms: -16ln + 4lnx + nxL = 16ln + -16ln Combine like terms: 16ln + -16ln = 0 -16ln + 4lnx + nxL = 0 Add '-1nxL' to each side of the equation. -16ln + 4lnx + nxL + -1nxL = 0 + -1nxL Combine like terms: nxL + -1nxL = 0 -16ln + 4lnx + 0 = 0 + -1nxL -16ln + 4lnx = 0 + -1nxL Remove the zero: -16ln + 4lnx = -1nxL Combine like terms: -1nxL + nxL = 0 -16ln + 4lnx + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-16l + 4lx + xL) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-16l + 4lx + xL)' equal to zero and attempt to solve: Simplifying -16l + 4lx + xL = 0 Solving -16l + 4lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1xL' to each side of the equation. -16l + 4lx + xL + -1xL = 0 + -1xL Combine like terms: xL + -1xL = 0 -16l + 4lx + 0 = 0 + -1xL -16l + 4lx = 0 + -1xL Remove the zero: -16l + 4lx = -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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