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Simplifying 3log(5) * x + -1log(5) * 4 = log(5) * 16 Reorder the terms for easier multiplication: 3 * 5glo * x + -1log(5) * 4 = log(5) * 16 Multiply 3 * 5 15glo * x + -1log(5) * 4 = log(5) * 16 Multiply glo * x 15glox + -1log(5) * 4 = log(5) * 16 Reorder the terms for easier multiplication: 15glox + -1 * 5 * 4glo = log(5) * 16 Multiply -1 * 5 15glox + -5 * 4glo = log(5) * 16 Multiply -5 * 4 15glox + -20glo = log(5) * 16 Reorder the terms: -20glo + 15glox = log(5) * 16 Reorder the terms for easier multiplication: -20glo + 15glox = 5 * 16glo Multiply 5 * 16 -20glo + 15glox = 80glo Solving -20glo + 15glox = 80glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-80glo' to each side of the equation. -20glo + -80glo + 15glox = 80glo + -80glo Combine like terms: -20glo + -80glo = -100glo -100glo + 15glox = 80glo + -80glo Combine like terms: 80glo + -80glo = 0 -100glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-20 + 3x) = 0 Ignore the factor 5.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 '(-20 + 3x)' equal to zero and attempt to solve: Simplifying -20 + 3x = 0 Solving -20 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 0 + 20 3x = 0 + 20 Combine like terms: 0 + 20 = 20 3x = 20 Add '-3x' to each side of the equation. 3x + -3x = 20 + -3x Combine like terms: 3x + -3x = 0 0 = 20 + -3x Simplifying 0 = 20 + -3x 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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