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Simplifying 2log(8)(x + 1) = log(8) * 9 Reorder the terms: 2glo * 8(1 + x) = log(8) * 9 Reorder the terms for easier multiplication: 2 * 8glo(1 + x) = log(8) * 9 Multiply 2 * 8 16glo(1 + x) = log(8) * 9 (1 * 16glo + x * 16glo) = log(8) * 9 (16glo + 16glox) = log(8) * 9 Reorder the terms for easier multiplication: 16glo + 16glox = 8 * 9glo Multiply 8 * 9 16glo + 16glox = 72glo Solving 16glo + 16glox = 72glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-72glo' to each side of the equation. 16glo + -72glo + 16glox = 72glo + -72glo Combine like terms: 16glo + -72glo = -56glo -56glo + 16glox = 72glo + -72glo Combine like terms: 72glo + -72glo = 0 -56glo + 16glox = 0 Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(-7 + 2x) = 0 Ignore the factor 8.Subproblem 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 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 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 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Add '-2x' to each side of the equation. 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 0 = 7 + -2x Simplifying 0 = 7 + -2x 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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