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Simplifying log(x + 3) = log(6x + 4) Reorder the terms: glo(3 + x) = log(6x + 4) (3 * glo + x * glo) = log(6x + 4) (3glo + glox) = log(6x + 4) Reorder the terms: 3glo + glox = glo(4 + 6x) 3glo + glox = (4 * glo + 6x * glo) 3glo + glox = (4glo + 6glox) Solving 3glo + glox = 4glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. 3glo + -4glo + glox = 4glo + -4glo + 6glox Combine like terms: 3glo + -4glo = -1glo -1glo + glox = 4glo + -4glo + 6glox Combine like terms: 4glo + -4glo = 0 -1glo + glox = 0 + 6glox -1glo + glox = 6glox Add '-6glox' to each side of the equation. -1glo + glox + -6glox = 6glox + -6glox Combine like terms: glox + -6glox = -5glox -1glo + -5glox = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -1glo + -5glox = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(1 + 5x) = 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Add '-5x' to each side of the equation. 5x + -5x = -1 + -5x Combine like terms: 5x + -5x = 0 0 = -1 + -5x Simplifying 0 = -1 + -5x 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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