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Simplifying log[5](4x + -7) = 0 Reorder the terms: glo * 5(-7 + 4x) = 0 Reorder the terms for easier multiplication: 5glo(-7 + 4x) = 0 (-7 * 5glo + 4x * 5glo) = 0 (-35glo + 20glox) = 0 Solving -35glo + 20glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-7 + 4x) = 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 '(-7 + 4x)' equal to zero and attempt to solve: Simplifying -7 + 4x = 0 Solving -7 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Add '-4x' to each side of the equation. 4x + -4x = 7 + -4x Combine like terms: 4x + -4x = 0 0 = 7 + -4x Simplifying 0 = 7 + -4x 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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