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Simplifying log[5](-3 + -2x) = 1 Reorder the terms for easier multiplication: 5glo(-3 + -2x) = 1 (-3 * 5glo + -2x * 5glo) = 1 (-15glo + -10glox) = 1 Solving -15glo + -10glox = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + -15glo + -10glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -15glo + -10glox = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 15glo + 10glox) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 15glo + 10glox)' equal to zero and attempt to solve: Simplifying 1 + 15glo + 10glox = 0 Solving 1 + 15glo + 10glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 15glo + -1 + 10glox = 0 + -1 Reorder the terms: 1 + -1 + 15glo + 10glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15glo + 10glox = 0 + -1 15glo + 10glox = 0 + -1 Combine like terms: 0 + -1 = -1 15glo + 10glox = -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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