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Simplifying log(x + -3) = log(5x) Reorder the terms: glo(-3 + x) = log(5x) (-3 * glo + x * glo) = log(5x) (-3glo + glox) = log(5x) Remove parenthesis around (5x) -3glo + glox = glo * 5x Reorder the terms for easier multiplication: -3glo + glox = 5glo * x Multiply glo * x -3glo + glox = 5glox Solving -3glo + glox = 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. -3glo + glox + -5glox = 5glox + -5glox Combine like terms: glox + -5glox = -4glox -3glo + -4glox = 5glox + -5glox Combine like terms: 5glox + -5glox = 0 -3glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(3 + 4x) = 0 Ignore the factor -1.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 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Add '-4x' to each side of the equation. 4x + -4x = -3 + -4x Combine like terms: 4x + -4x = 0 0 = -3 + -4x Simplifying 0 = -3 + -4x 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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