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