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Simplifying 1n(10) + -1n(7 + -1x) = 1n(x) * logarithm Reorder the terms for easier multiplication: 1 * 10n + -1n(7 + -1x) = 1n(x) * logarithm Multiply 1 * 10 10n + -1n(7 + -1x) = 1n(x) * logarithm 10n + (7 * -1n + -1x * -1n) = 1n(x) * logarithm 10n + (-7n + 1nx) = 1n(x) * logarithm Combine like terms: 10n + -7n = 3n 3n + 1nx = 1n(x) * logarithm Multiply n * x 3n + 1nx = 1nx * aghilmort Multiply nx * aghilmort 3n + 1nx = 1aghilmnortx Solving 3n + 1nx = 1aghilmnortx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1aghilmnortx' to each side of the equation. 3n + -1aghilmnortx + 1nx = 1aghilmnortx + -1aghilmnortx Reorder the terms: -1aghilmnortx + 3n + 1nx = 1aghilmnortx + -1aghilmnortx Combine like terms: 1aghilmnortx + -1aghilmnortx = 0 -1aghilmnortx + 3n + 1nx = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1aghilmortx + 3 + x) = 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 '(-1aghilmortx + 3 + x)' equal to zero and attempt to solve: Simplifying -1aghilmortx + 3 + x = 0 Reorder the terms: 3 + -1aghilmortx + x = 0 Solving 3 + -1aghilmortx + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1aghilmortx + -3 + x = 0 + -3 Reorder the terms: 3 + -3 + -1aghilmortx + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1aghilmortx + x = 0 + -3 -1aghilmortx + x = 0 + -3 Combine like terms: 0 + -3 = -3 -1aghilmortx + x = -3 Add 'aghilmortx' to each side of the equation. -1aghilmortx + aghilmortx + x = -3 + aghilmortx Combine like terms: -1aghilmortx + aghilmortx = 0 0 + x = -3 + aghilmortx x = -3 + aghilmortx Add '-1x' to each side of the equation. x + -1x = -3 + aghilmortx + -1x Combine like terms: x + -1x = 0 0 = -3 + aghilmortx + -1x Simplifying 0 = -3 + aghilmortx + -1x 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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