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Simplifying log[3](5x + -6) = 3 Reorder the terms: glo * 3(-6 + 5x) = 3 Reorder the terms for easier multiplication: 3glo(-6 + 5x) = 3 (-6 * 3glo + 5x * 3glo) = 3 (-18glo + 15glox) = 3 Solving -18glo + 15glox = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -3 + -18glo + 15glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -18glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -6glo + 5glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -6glo + 5glox)' equal to zero and attempt to solve: Simplifying -1 + -6glo + 5glox = 0 Solving -1 + -6glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6glo + 1 + 5glox = 0 + 1 Reorder the terms: -1 + 1 + -6glo + 5glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6glo + 5glox = 0 + 1 -6glo + 5glox = 0 + 1 Combine like terms: 0 + 1 = 1 -6glo + 5glox = 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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