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Simplifying log(20x3) + -1log(4x2) = 2 Remove parenthesis around (20x3) glo * 20x3 + -1log(4x2) = 2 Reorder the terms for easier multiplication: 20glo * x3 + -1log(4x2) = 2 Multiply glo * x3 20glox3 + -1log(4x2) = 2 Remove parenthesis around (4x2) 20glox3 + -1glo * 4x2 = 2 Reorder the terms for easier multiplication: 20glox3 + -1 * 4glo * x2 = 2 Multiply -1 * 4 20glox3 + -4glo * x2 = 2 Multiply glo * x2 20glox3 + -4glox2 = 2 Reorder the terms: -4glox2 + 20glox3 = 2 Solving -4glox2 + 20glox3 = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -4glox2 + 20glox3 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -4glox2 + 20glox3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -2glox2 + 10glox3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2glox2 + 10glox3)' equal to zero and attempt to solve: Simplifying -1 + -2glox2 + 10glox3 = 0 Solving -1 + -2glox2 + 10glox3 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2glox2 + 1 + 10glox3 = 0 + 1 Reorder the terms: -1 + 1 + -2glox2 + 10glox3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2glox2 + 10glox3 = 0 + 1 -2glox2 + 10glox3 = 0 + 1 Combine like terms: 0 + 1 = 1 -2glox2 + 10glox3 = 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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