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Simplifying Ln(14) = ln(x) Reorder the terms for easier multiplication: 14nL = ln(x) Multiply ln * x 14nL = lnx Solving 14nL = lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1lnx' to each side of the equation. -1lnx + 14nL = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1lnx + 14nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1lx + 14L) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-1lx + 14L)' equal to zero and attempt to solve: Simplifying -1lx + 14L = 0 Reorder the terms: 14L + -1lx = 0 Solving 14L + -1lx = 0 Move all terms containing n to the left, all other terms to the right. Add '-14L' to each side of the equation. 14L + -14L + -1lx = 0 + -14L Combine like terms: 14L + -14L = 0 0 + -1lx = 0 + -14L -1lx = 0 + -14L Remove the zero: -1lx = -14L Add 'lx' to each side of the equation. -1lx + lx = -14L + lx Combine like terms: -1lx + lx = 0 0 = -14L + lx Simplifying 0 = -14L + lx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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