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