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Simplifying log[9](2x + -13) + log[9] * 7 = log[9] * 14 Reorder the terms: glo * 9(-13 + 2x) + log[9] * 7 = log[9] * 14 Reorder the terms for easier multiplication: 9glo(-13 + 2x) + log[9] * 7 = log[9] * 14 (-13 * 9glo + 2x * 9glo) + log[9] * 7 = log[9] * 14 (-117glo + 18glox) + log[9] * 7 = log[9] * 14 Reorder the terms for easier multiplication: -117glo + 18glox + 9 * 7glo = log[9] * 14 Multiply 9 * 7 -117glo + 18glox + 63glo = log[9] * 14 Reorder the terms: -117glo + 63glo + 18glox = log[9] * 14 Combine like terms: -117glo + 63glo = -54glo -54glo + 18glox = log[9] * 14 Reorder the terms for easier multiplication: -54glo + 18glox = 9 * 14glo Multiply 9 * 14 -54glo + 18glox = 126glo Solving -54glo + 18glox = 126glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-126glo' to each side of the equation. -54glo + -126glo + 18glox = 126glo + -126glo Combine like terms: -54glo + -126glo = -180glo -180glo + 18glox = 126glo + -126glo Combine like terms: 126glo + -126glo = 0 -180glo + 18glox = 0 Factor out the Greatest Common Factor (GCF), '18glo'. 18glo(-10 + x) = 0 Ignore the factor 18.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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -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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