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Simplifying log(12x) + -1log(2x) + log(3x) = log(8x) + log(9) + log(12) Remove parenthesis around (12x) glo * 12x + -1log(2x) + log(3x) = log(8x) + log(9) + log(12) Reorder the terms for easier multiplication: 12glo * x + -1log(2x) + log(3x) = log(8x) + log(9) + log(12) Multiply glo * x 12glox + -1log(2x) + log(3x) = log(8x) + log(9) + log(12) Remove parenthesis around (2x) 12glox + -1glo * 2x + log(3x) = log(8x) + log(9) + log(12) Reorder the terms for easier multiplication: 12glox + -1 * 2glo * x + log(3x) = log(8x) + log(9) + log(12) Multiply -1 * 2 12glox + -2glo * x + log(3x) = log(8x) + log(9) + log(12) Multiply glo * x 12glox + -2glox + log(3x) = log(8x) + log(9) + log(12) Remove parenthesis around (3x) 12glox + -2glox + glo * 3x = log(8x) + log(9) + log(12) Reorder the terms for easier multiplication: 12glox + -2glox + 3glo * x = log(8x) + log(9) + log(12) Multiply glo * x 12glox + -2glox + 3glox = log(8x) + log(9) + log(12) Combine like terms: 12glox + -2glox = 10glox 10glox + 3glox = log(8x) + log(9) + log(12) Combine like terms: 10glox + 3glox = 13glox 13glox = log(8x) + log(9) + log(12) Remove parenthesis around (8x) 13glox = glo * 8x + log(9) + log(12) Reorder the terms for easier multiplication: 13glox = 8glo * x + log(9) + log(12) Multiply glo * x 13glox = 8glox + log(9) + log(12) Reorder the terms for easier multiplication: 13glox = 8glox + 9glo + log(12) Reorder the terms for easier multiplication: 13glox = 8glox + 9glo + 12glo Reorder the terms: 13glox = 9glo + 12glo + 8glox Combine like terms: 9glo + 12glo = 21glo 13glox = 21glo + 8glox Solving 13glox = 21glo + 8glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-21glo' to each side of the equation. -21glo + 13glox = 21glo + -21glo + 8glox Combine like terms: 21glo + -21glo = 0 -21glo + 13glox = 0 + 8glox -21glo + 13glox = 8glox Add '-8glox' to each side of the equation. -21glo + 13glox + -8glox = 8glox + -8glox Combine like terms: 13glox + -8glox = 5glox -21glo + 5glox = 8glox + -8glox Combine like terms: 8glox + -8glox = 0 -21glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-21 + 5x) = 0Subproblem 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 '(-21 + 5x)' equal to zero and attempt to solve: Simplifying -21 + 5x = 0 Solving -21 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 0 + 21 5x = 0 + 21 Combine like terms: 0 + 21 = 21 5x = 21 Add '-5x' to each side of the equation. 5x + -5x = 21 + -5x Combine like terms: 5x + -5x = 0 0 = 21 + -5x Simplifying 0 = 21 + -5x 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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