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Simplifying log[3] * 2x + -1log[3](x + 5) = 0 Reorder the terms for easier multiplication: 3 * 2glo * x + -1log[3](x + 5) = 0 Multiply 3 * 2 6glo * x + -1log[3](x + 5) = 0 Multiply glo * x 6glox + -1log[3](x + 5) = 0 Reorder the terms: 6glox + -1glo * 3(5 + x) = 0 Reorder the terms for easier multiplication: 6glox + -1 * 3glo(5 + x) = 0 Multiply -1 * 3 6glox + -3glo(5 + x) = 0 6glox + (5 * -3glo + x * -3glo) = 0 6glox + (-15glo + -3glox) = 0 Reorder the terms: -15glo + 6glox + -3glox = 0 Combine like terms: 6glox + -3glox = 3glox -15glo + 3glox = 0 Solving -15glo + 3glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-5 + x) = 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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