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Simplifying log(8) = log(x + 1) + x * log(2) Reorder the terms for easier multiplication: 8glo = log(x + 1) + x * log(2) Reorder the terms: 8glo = glo(1 + x) + x * log(2) 8glo = (1 * glo + x * glo) + x * log(2) 8glo = (1glo + glox) + x * log(2) Reorder the terms for easier multiplication: 8glo = 1glo + glox + 2x * glo Multiply x * glo 8glo = 1glo + glox + 2glox Combine like terms: glox + 2glox = 3glox 8glo = 1glo + 3glox Solving 8glo = 1glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glo' to each side of the equation. 8glo + -1glo = 1glo + -1glo + 3glox Combine like terms: 8glo + -1glo = 7glo 7glo = 1glo + -1glo + 3glox Combine like terms: 1glo + -1glo = 0 7glo = 0 + 3glox 7glo = 3glox Add '-3glox' to each side of the equation. 7glo + -3glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 7glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(7 + -3x) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Add '3x' to each side of the equation. -3x + 3x = -7 + 3x Combine like terms: -3x + 3x = 0 0 = -7 + 3x Simplifying 0 = -7 + 3x 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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