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Simplifying log[5] * x + -1log[5] * 2 = log[5] * 15 Reorder the terms for easier multiplication: 5glo * x + -1log[5] * 2 = log[5] * 15 Multiply glo * x 5glox + -1log[5] * 2 = log[5] * 15 Reorder the terms for easier multiplication: 5glox + -1 * 5 * 2glo = log[5] * 15 Multiply -1 * 5 5glox + -5 * 2glo = log[5] * 15 Multiply -5 * 2 5glox + -10glo = log[5] * 15 Reorder the terms: -10glo + 5glox = log[5] * 15 Reorder the terms for easier multiplication: -10glo + 5glox = 5 * 15glo Multiply 5 * 15 -10glo + 5glox = 75glo Solving -10glo + 5glox = 75glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-75glo' to each side of the equation. -10glo + -75glo + 5glox = 75glo + -75glo Combine like terms: -10glo + -75glo = -85glo -85glo + 5glox = 75glo + -75glo Combine like terms: 75glo + -75glo = 0 -85glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-17 + x) = 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 '(-17 + x)' equal to zero and attempt to solve: Simplifying -17 + x = 0 Solving -17 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x = 0 + 17 x = 0 + 17 Combine like terms: 0 + 17 = 17 x = 17 Add '-1x' to each side of the equation. x + -1x = 17 + -1x Combine like terms: x + -1x = 0 0 = 17 + -1x Simplifying 0 = 17 + -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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