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Simplifying log(3)(x2 + -14) = log(3)(5X) Reorder the terms: glo * 3(-14 + x2) = log(3)(5X) Reorder the terms for easier multiplication: 3glo(-14 + x2) = log(3)(5X) (-14 * 3glo + x2 * 3glo) = log(3)(5X) (-42glo + 3glox2) = log(3)(5X) Remove parenthesis around (5X) -42glo + 3glox2 = glo * 3 * 5X Reorder the terms for easier multiplication: -42glo + 3glox2 = 3 * 5glo * X Multiply 3 * 5 -42glo + 3glox2 = 15glo * X Multiply glo * X -42glo + 3glox2 = 15gloX Solving -42glo + 3glox2 = 15gloX Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15gloX' to each side of the equation. -42glo + -15gloX + 3glox2 = 15gloX + -15gloX Combine like terms: 15gloX + -15gloX = 0 -42glo + -15gloX + 3glox2 = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-14 + -5X + x2) = 0 Ignore the factor 3.Subproblem 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 '(-14 + -5X + x2)' equal to zero and attempt to solve: Simplifying -14 + -5X + x2 = 0 Solving -14 + -5X + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -5X + 14 + x2 = 0 + 14 Reorder the terms: -14 + 14 + -5X + x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5X + x2 = 0 + 14 -5X + x2 = 0 + 14 Combine like terms: 0 + 14 = 14 -5X + x2 = 14 Add '5X' to each side of the equation. -5X + 5X + x2 = 14 + 5X Combine like terms: -5X + 5X = 0 0 + x2 = 14 + 5X x2 = 14 + 5X Add '-1x2' to each side of the equation. x2 + -1x2 = 14 + 5X + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 14 + 5X + -1x2 Simplifying 0 = 14 + 5X + -1x2 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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