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Simplifying log(5)(x + 4) + log(5)(x) = log(5)(12) Reorder the terms: glo * 5(4 + x) + log(5)(x) = log(5)(12) Reorder the terms for easier multiplication: 5glo(4 + x) + log(5)(x) = log(5)(12) (4 * 5glo + x * 5glo) + log(5)(x) = log(5)(12) (20glo + 5glox) + log(5)(x) = log(5)(12) Reorder the terms for easier multiplication: 20glo + 5glox + 5glo * x = log(5)(12) Multiply glo * x 20glo + 5glox + 5glox = log(5)(12) Combine like terms: 5glox + 5glox = 10glox 20glo + 10glox = log(5)(12) Reorder the terms for easier multiplication: 20glo + 10glox = 5 * 12glo Multiply 5 * 12 20glo + 10glox = 60glo Solving 20glo + 10glox = 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. 20glo + -60glo + 10glox = 60glo + -60glo Combine like terms: 20glo + -60glo = -40glo -40glo + 10glox = 60glo + -60glo Combine like terms: 60glo + -60glo = 0 -40glo + 10glox = 0 Factor out the Greatest Common Factor (GCF), '10glo'. 10glo(-4 + x) = 0 Ignore the factor 10.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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