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Simplifying Ln(4) + ln(x) = ln(48) Reorder the terms for easier multiplication: 4nL + ln(x) = ln(48) Multiply ln * x 4nL + lnx = ln(48) Reorder the terms: lnx + 4nL = ln(48) Reorder the terms for easier multiplication: lnx + 4nL = 48ln Solving lnx + 4nL = 48ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-48ln' to each side of the equation. lnx + -48ln + 4nL = 48ln + -48ln Reorder the terms: -48ln + lnx + 4nL = 48ln + -48ln Combine like terms: 48ln + -48ln = 0 -48ln + lnx + 4nL = 0 Add '-4nL' to each side of the equation. -48ln + lnx + 4nL + -4nL = 0 + -4nL Combine like terms: 4nL + -4nL = 0 -48ln + lnx + 0 = 0 + -4nL -48ln + lnx = 0 + -4nL Remove the zero: -48ln + lnx = -4nL Combine like terms: -4nL + 4nL = 0 -48ln + lnx + 4nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-48l + lx + 4L) = 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 '(-48l + lx + 4L)' equal to zero and attempt to solve: Simplifying -48l + lx + 4L = 0 Reorder the terms: 4L + -48l + lx = 0 Solving 4L + -48l + lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + -48l + -4L + lx = 0 + -4L Reorder the terms: 4L + -4L + -48l + lx = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -48l + lx = 0 + -4L -48l + lx = 0 + -4L Remove the zero: -48l + lx = -4L 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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