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Simplifying log(2x + 4) = 2log(3) Reorder the terms: glo(4 + 2x) = 2log(3) (4 * glo + 2x * glo) = 2log(3) (4glo + 2glox) = 2log(3) Reorder the terms for easier multiplication: 4glo + 2glox = 2 * 3glo Multiply 2 * 3 4glo + 2glox = 6glo Solving 4glo + 2glox = 6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. 4glo + -6glo + 2glox = 6glo + -6glo Combine like terms: 4glo + -6glo = -2glo -2glo + 2glox = 6glo + -6glo Combine like terms: 6glo + -6glo = 0 -2glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-1 + x) = 0 Ignore the factor 2.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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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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