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Simplifying log(2x + -7) = log(12) + -1log(3) Reorder the terms: glo(-7 + 2x) = log(12) + -1log(3) (-7 * glo + 2x * glo) = log(12) + -1log(3) (-7glo + 2glox) = log(12) + -1log(3) Reorder the terms for easier multiplication: -7glo + 2glox = 12glo + -1log(3) Reorder the terms for easier multiplication: -7glo + 2glox = 12glo + -1 * 3glo Multiply -1 * 3 -7glo + 2glox = 12glo + -3glo Combine like terms: 12glo + -3glo = 9glo -7glo + 2glox = 9glo Solving -7glo + 2glox = 9glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. -7glo + -9glo + 2glox = 9glo + -9glo Combine like terms: -7glo + -9glo = -16glo -16glo + 2glox = 9glo + -9glo Combine like terms: 9glo + -9glo = 0 -16glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-8 + 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -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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