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