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Simplifying 2log[5](7 + -1x) + -7 = 9 Reorder the terms for easier multiplication: 2 * 5glo(7 + -1x) + -7 = 9 Multiply 2 * 5 10glo(7 + -1x) + -7 = 9 (7 * 10glo + -1x * 10glo) + -7 = 9 (70glo + -10glox) + -7 = 9 Reorder the terms: -7 + 70glo + -10glox = 9 Solving -7 + 70glo + -10glox = 9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 70glo + 7 + -10glox = 9 + 7 Reorder the terms: -7 + 7 + 70glo + -10glox = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 70glo + -10glox = 9 + 7 70glo + -10glox = 9 + 7 Combine like terms: 9 + 7 = 16 70glo + -10glox = 16 Reorder the terms: -16 + 70glo + -10glox = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 70glo + -10glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 35glo + -5glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + 35glo + -5glox)' equal to zero and attempt to solve: Simplifying -8 + 35glo + -5glox = 0 Solving -8 + 35glo + -5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 35glo + 8 + -5glox = 0 + 8 Reorder the terms: -8 + 8 + 35glo + -5glox = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 35glo + -5glox = 0 + 8 35glo + -5glox = 0 + 8 Combine like terms: 0 + 8 = 8 35glo + -5glox = 8 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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