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Simplifying log[5](3x) + log[5](x) = log[5](12) Remove parenthesis around (3x) glo * 5 * 3x + log[5](x) = log[5](12) Reorder the terms for easier multiplication: 5 * 3glo * x + log[5](x) = log[5](12) Multiply 5 * 3 15glo * x + log[5](x) = log[5](12) Multiply glo * x 15glox + log[5](x) = log[5](12) Reorder the terms for easier multiplication: 15glox + 5glo * x = log[5](12) Multiply glo * x 15glox + 5glox = log[5](12) Combine like terms: 15glox + 5glox = 20glox 20glox = log[5](12) Reorder the terms for easier multiplication: 20glox = 5 * 12glo Multiply 5 * 12 20glox = 60glo Solving 20glox = 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. -60glo + 20glox = 60glo + -60glo Combine like terms: 60glo + -60glo = 0 -60glo + 20glox = 0 Factor out the Greatest Common Factor (GCF), '20glo'. 20glo(-3 + x) = 0 Ignore the factor 20.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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -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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