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Simplifying log(500x) + -1log(5x2) = 0 Remove parenthesis around (500x) glo * 500x + -1log(5x2) = 0 Reorder the terms for easier multiplication: 500glo * x + -1log(5x2) = 0 Multiply glo * x 500glox + -1log(5x2) = 0 Remove parenthesis around (5x2) 500glox + -1glo * 5x2 = 0 Reorder the terms for easier multiplication: 500glox + -1 * 5glo * x2 = 0 Multiply -1 * 5 500glox + -5glo * x2 = 0 Multiply glo * x2 500glox + -5glox2 = 0 Solving 500glox + -5glox2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5glox'. 5glox(100 + -1x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Add 'x' to each side of the equation. -1x + x = -100 + x Combine like terms: -1x + x = 0 0 = -100 + x Simplifying 0 = -100 + x 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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