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Simplifying log[5] * x + log[5] * 3 = log[5] * 12 Reorder the terms for easier multiplication: 5glo * x + log[5] * 3 = log[5] * 12 Multiply glo * x 5glox + log[5] * 3 = log[5] * 12 Reorder the terms for easier multiplication: 5glox + 5 * 3glo = log[5] * 12 Multiply 5 * 3 5glox + 15glo = log[5] * 12 Reorder the terms: 15glo + 5glox = log[5] * 12 Reorder the terms for easier multiplication: 15glo + 5glox = 5 * 12glo Multiply 5 * 12 15glo + 5glox = 60glo Solving 15glo + 5glox = 60glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-60glo' to each side of the equation. 15glo + -60glo + 5glox = 60glo + -60glo Combine like terms: 15glo + -60glo = -45glo -45glo + 5glox = 60glo + -60glo Combine like terms: 60glo + -60glo = 0 -45glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-9 + x) = 0 Ignore the factor 5.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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -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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