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Simplifying log(4) + log(x) = log(5) + -1log(x) Reorder the terms for easier multiplication: 4glo + log(x) = log(5) + -1log(x) Multiply glo * x 4glo + glox = log(5) + -1log(x) Reorder the terms for easier multiplication: 4glo + glox = 5glo + -1log(x) Multiply glo * x 4glo + glox = 5glo + -1glox Solving 4glo + glox = 5glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. 4glo + -5glo + glox = 5glo + -5glo + -1glox Combine like terms: 4glo + -5glo = -1glo -1glo + glox = 5glo + -5glo + -1glox Combine like terms: 5glo + -5glo = 0 -1glo + glox = 0 + -1glox -1glo + glox = -1glox Add 'glox' to each side of the equation. -1glo + glox + glox = -1glox + glox Combine like terms: glox + glox = 2glox -1glo + 2glox = -1glox + glox Combine like terms: -1glox + glox = 0 -1glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-1 + 2x) = 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 '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Add '-2x' to each side of the equation. 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 0 = 1 + -2x Simplifying 0 = 1 + -2x 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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