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Simplifying log[3] * 3x + log[3] * 4 = log[3] * 36 Reorder the terms for easier multiplication: 3 * 3glo * x + log[3] * 4 = log[3] * 36 Multiply 3 * 3 9glo * x + log[3] * 4 = log[3] * 36 Multiply glo * x 9glox + log[3] * 4 = log[3] * 36 Reorder the terms for easier multiplication: 9glox + 3 * 4glo = log[3] * 36 Multiply 3 * 4 9glox + 12glo = log[3] * 36 Reorder the terms: 12glo + 9glox = log[3] * 36 Reorder the terms for easier multiplication: 12glo + 9glox = 3 * 36glo Multiply 3 * 36 12glo + 9glox = 108glo Solving 12glo + 9glox = 108glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-108glo' to each side of the equation. 12glo + -108glo + 9glox = 108glo + -108glo Combine like terms: 12glo + -108glo = -96glo -96glo + 9glox = 108glo + -108glo Combine like terms: 108glo + -108glo = 0 -96glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-32 + 3x) = 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 '(-32 + 3x)' equal to zero and attempt to solve: Simplifying -32 + 3x = 0 Solving -32 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 3x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = 0 + 32 3x = 0 + 32 Combine like terms: 0 + 32 = 32 3x = 32 Add '-3x' to each side of the equation. 3x + -3x = 32 + -3x Combine like terms: 3x + -3x = 0 0 = 32 + -3x Simplifying 0 = 32 + -3x 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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