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Simplifying log[3] * x + 2log[3] = log[3] * 27 Reorder the terms for easier multiplication: 3glo * x + 2log[3] = log[3] * 27 Multiply glo * x 3glox + 2log[3] = log[3] * 27 Reorder the terms for easier multiplication: 3glox + 2 * 3glo = log[3] * 27 Multiply 2 * 3 3glox + 6glo = log[3] * 27 Reorder the terms: 6glo + 3glox = log[3] * 27 Reorder the terms for easier multiplication: 6glo + 3glox = 3 * 27glo Multiply 3 * 27 6glo + 3glox = 81glo Solving 6glo + 3glox = 81glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-81glo' to each side of the equation. 6glo + -81glo + 3glox = 81glo + -81glo Combine like terms: 6glo + -81glo = -75glo -75glo + 3glox = 81glo + -81glo Combine like terms: 81glo + -81glo = 0 -75glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-25 + x) = 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 '(-25 + x)' equal to zero and attempt to solve: Simplifying -25 + x = 0 Solving -25 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x = 0 + 25 x = 0 + 25 Combine like terms: 0 + 25 = 25 x = 25 Add '-1x' to each side of the equation. x + -1x = 25 + -1x Combine like terms: x + -1x = 0 0 = 25 + -1x Simplifying 0 = 25 + -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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