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Simplifying log[5] * 2 + -1log[5] * 7 = log[5](x) Reorder the terms for easier multiplication: 5 * 2glo + -1log[5] * 7 = log[5](x) Multiply 5 * 2 10glo + -1log[5] * 7 = log[5](x) Reorder the terms for easier multiplication: 10glo + -1 * 5 * 7glo = log[5](x) Multiply -1 * 5 10glo + -5 * 7glo = log[5](x) Multiply -5 * 7 10glo + -35glo = log[5](x) Combine like terms: 10glo + -35glo = -25glo -25glo = log[5](x) Reorder the terms for easier multiplication: -25glo = 5glo * x Multiply glo * x -25glo = 5glox Solving -25glo = 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glox' to each side of the equation. -25glo + -5glox = 5glox + -5glox Combine like terms: 5glox + -5glox = 0 -25glo + -5glox = 0 Factor out the Greatest Common Factor (GCF), '-5glo'. -5glo(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -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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