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Simplifying log(5)(3x + -5) = log(5)(7) Reorder the terms: glo * 5(-5 + 3x) = log(5)(7) Reorder the terms for easier multiplication: 5glo(-5 + 3x) = log(5)(7) (-5 * 5glo + 3x * 5glo) = log(5)(7) (-25glo + 15glox) = log(5)(7) Reorder the terms for easier multiplication: -25glo + 15glox = 5 * 7glo Multiply 5 * 7 -25glo + 15glox = 35glo Solving -25glo + 15glox = 35glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-35glo' to each side of the equation. -25glo + -35glo + 15glox = 35glo + -35glo Combine like terms: -25glo + -35glo = -60glo -60glo + 15glox = 35glo + -35glo Combine like terms: 35glo + -35glo = 0 -60glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '15glo'. 15glo(-4 + x) = 0 Ignore the factor 15.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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