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Simplifying log(12) + -1log(x) = log(36) Reorder the terms for easier multiplication: 12glo + -1log(x) = log(36) Multiply glo * x 12glo + -1glox = log(36) Reorder the terms for easier multiplication: 12glo + -1glox = 36glo Solving 12glo + -1glox = 36glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glo' to each side of the equation. 12glo + -36glo + -1glox = 36glo + -36glo Combine like terms: 12glo + -36glo = -24glo -24glo + -1glox = 36glo + -36glo Combine like terms: 36glo + -36glo = 0 -24glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(24 + x) = 0 Ignore the factor -1.Subproblem 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 '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Add '-1x' to each side of the equation. x + -1x = -24 + -1x Combine like terms: x + -1x = 0 0 = -24 + -1x Simplifying 0 = -24 + -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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