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Simplifying log(x) = log(3000) + -2.3log(2) Multiply glo * x glox = log(3000) + -2.3log(2) Reorder the terms for easier multiplication: glox = 3000glo + -2.3log(2) Reorder the terms for easier multiplication: glox = 3000glo + -2.3 * 2glo Multiply -2.3 * 2 glox = 3000glo + -4.6glo Combine like terms: 3000glo + -4.6glo = 2995.4glo glox = 2995.4glo Solving glox = 2995.4glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2995.4glo' to each side of the equation. -2995.4glo + glox = 2995.4glo + -2995.4glo Combine like terms: 2995.4glo + -2995.4glo = 0.0 -2995.4glo + glox = 0.0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-2995.4 + x) = 0.0Subproblem 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 '(-2995.4 + x)' equal to zero and attempt to solve: Simplifying -2995.4 + x = 0 Solving -2995.4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2995.4' to each side of the equation. -2995.4 + 2995.4 + x = 0 + 2995.4 Combine like terms: -2995.4 + 2995.4 = 0.0 0.0 + x = 0 + 2995.4 x = 0 + 2995.4 Combine like terms: 0 + 2995.4 = 2995.4 x = 2995.4 Add '-1x' to each side of the equation. x + -1x = 2995.4 + -1x Combine like terms: x + -1x = 0 0 = 2995.4 + -1x Simplifying 0 = 2995.4 + -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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