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Simplifying log(x) = 2log(a) + -1log(b) Multiply glo * x glox = 2log(a) + -1log(b) Multiply glo * a glox = 2aglo + -1log(b) Multiply glo * b glox = 2aglo + -1bglo Solving glox = 2aglo + -1bglo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2aglo' to each side of the equation. -2aglo + glox = 2aglo + -2aglo + -1bglo Combine like terms: 2aglo + -2aglo = 0 -2aglo + glox = 0 + -1bglo -2aglo + glox = -1bglo Add 'bglo' to each side of the equation. -2aglo + bglo + glox = -1bglo + bglo Combine like terms: -1bglo + bglo = 0 -2aglo + bglo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-2a + b + x) = 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 '(-2a + b + x)' equal to zero and attempt to solve: Simplifying -2a + b + x = 0 Solving -2a + b + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2a' to each side of the equation. -2a + b + 2a + x = 0 + 2a Reorder the terms: -2a + 2a + b + x = 0 + 2a Combine like terms: -2a + 2a = 0 0 + b + x = 0 + 2a b + x = 0 + 2a Remove the zero: b + x = 2a Add '-1b' to each side of the equation. b + -1b + x = 2a + -1b Combine like terms: b + -1b = 0 0 + x = 2a + -1b x = 2a + -1b Add '-1x' to each side of the equation. x + -1x = 2a + -1b + -1x Combine like terms: x + -1x = 0 0 = 2a + -1b + -1x Simplifying 0 = 2a + -1b + -1x 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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