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Simplifying 2log(6) + 3log(5) + -1log(30) = log(x) Reorder the terms for easier multiplication: 2 * 6glo + 3log(5) + -1log(30) = log(x) Multiply 2 * 6 12glo + 3log(5) + -1log(30) = log(x) Reorder the terms for easier multiplication: 12glo + 3 * 5glo + -1log(30) = log(x) Multiply 3 * 5 12glo + 15glo + -1log(30) = log(x) Reorder the terms for easier multiplication: 12glo + 15glo + -1 * 30glo = log(x) Multiply -1 * 30 12glo + 15glo + -30glo = log(x) Combine like terms: 12glo + 15glo = 27glo 27glo + -30glo = log(x) Combine like terms: 27glo + -30glo = -3glo -3glo = log(x) Multiply glo * x -3glo = glox Solving -3glo = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. -3glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -3glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(3 + 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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