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Simplifying 2log(x) = log(2) + log(x + 24) Multiply glo * x 2glox = log(2) + log(x + 24) Reorder the terms for easier multiplication: 2glox = 2glo + log(x + 24) Reorder the terms: 2glox = 2glo + glo(24 + x) 2glox = 2glo + (24 * glo + x * glo) 2glox = 2glo + (24glo + glox) Combine like terms: 2glo + 24glo = 26glo 2glox = 26glo + glox Solving 2glox = 26glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-26glo' to each side of the equation. -26glo + 2glox = 26glo + -26glo + glox Combine like terms: 26glo + -26glo = 0 -26glo + 2glox = 0 + glox -26glo + 2glox = glox Add '-1glox' to each side of the equation. -26glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox -26glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -26glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-26 + 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 '(-26 + x)' equal to zero and attempt to solve: Simplifying -26 + x = 0 Solving -26 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + x = 0 + 26 x = 0 + 26 Combine like terms: 0 + 26 = 26 x = 26 Add '-1x' to each side of the equation. x + -1x = 26 + -1x Combine like terms: x + -1x = 0 0 = 26 + -1x Simplifying 0 = 26 + -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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