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Simplifying log(12x4) + -1log(2x3) = 2 Remove parenthesis around (12x4) glo * 12x4 + -1log(2x3) = 2 Reorder the terms for easier multiplication: 12glo * x4 + -1log(2x3) = 2 Multiply glo * x4 12glox4 + -1log(2x3) = 2 Remove parenthesis around (2x3) 12glox4 + -1glo * 2x3 = 2 Reorder the terms for easier multiplication: 12glox4 + -1 * 2glo * x3 = 2 Multiply -1 * 2 12glox4 + -2glo * x3 = 2 Multiply glo * x3 12glox4 + -2glox3 = 2 Reorder the terms: -2glox3 + 12glox4 = 2 Solving -2glox3 + 12glox4 = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -2glox3 + 12glox4 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -2glox3 + 12glox4 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -1glox3 + 6glox4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1glox3 + 6glox4)' equal to zero and attempt to solve: Simplifying -1 + -1glox3 + 6glox4 = 0 Solving -1 + -1glox3 + 6glox4 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1glox3 + 1 + 6glox4 = 0 + 1 Reorder the terms: -1 + 1 + -1glox3 + 6glox4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1glox3 + 6glox4 = 0 + 1 -1glox3 + 6glox4 = 0 + 1 Combine like terms: 0 + 1 = 1 -1glox3 + 6glox4 = 1 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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