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Simplifying log(X) + -1log(2) = log(x + 8) + -1log(x + 2) Multiply glo * X gloX + -1log(2) = log(x + 8) + -1log(x + 2) Reorder the terms for easier multiplication: gloX + -1 * 2glo = log(x + 8) + -1log(x + 2) Multiply -1 * 2 gloX + -2glo = log(x + 8) + -1log(x + 2) Reorder the terms: -2glo + gloX = log(x + 8) + -1log(x + 2) Reorder the terms: -2glo + gloX = glo(8 + x) + -1log(x + 2) -2glo + gloX = (8 * glo + x * glo) + -1log(x + 2) -2glo + gloX = (8glo + glox) + -1log(x + 2) Reorder the terms: -2glo + gloX = 8glo + glox + -1glo(2 + x) -2glo + gloX = 8glo + glox + (2 * -1glo + x * -1glo) -2glo + gloX = 8glo + glox + (-2glo + -1glox) Reorder the terms: -2glo + gloX = 8glo + -2glo + glox + -1glox Combine like terms: 8glo + -2glo = 6glo -2glo + gloX = 6glo + glox + -1glox Combine like terms: glox + -1glox = 0 -2glo + gloX = 6glo + 0 -2glo + gloX = 6glo Solving -2glo + gloX = 6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. -2glo + -6glo + gloX = 6glo + -6glo Combine like terms: -2glo + -6glo = -8glo -8glo + gloX = 6glo + -6glo Combine like terms: 6glo + -6glo = 0 -8glo + gloX = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-8 + X) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-8 + X)' equal to zero and attempt to solve: Simplifying -8 + X = 0 Solving -8 + X = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + X = 0 + 8 X = 0 + 8 Combine like terms: 0 + 8 = 8 X = 8 Add '-1X' to each side of the equation. X + -1X = 8 + -1X Combine like terms: X + -1X = 0 0 = 8 + -1X Simplifying 0 = 8 + -1X 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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