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Simplifying log[4](9 + -5x) = 2 Reorder the terms for easier multiplication: 4glo(9 + -5x) = 2 (9 * 4glo + -5x * 4glo) = 2 (36glo + -20glox) = 2 Solving 36glo + -20glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 36glo + -20glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 36glo + -20glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 18glo + -10glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 18glo + -10glox)' equal to zero and attempt to solve: Simplifying -1 + 18glo + -10glox = 0 Solving -1 + 18glo + -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 + 18glo + 1 + -10glox = 0 + 1 Reorder the terms: -1 + 1 + 18glo + -10glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 18glo + -10glox = 0 + 1 18glo + -10glox = 0 + 1 Combine like terms: 0 + 1 = 1 18glo + -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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