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Simplifying log[2](x + 1) = log[2] * 14 Reorder the terms: glo * 2(1 + x) = log[2] * 14 Reorder the terms for easier multiplication: 2glo(1 + x) = log[2] * 14 (1 * 2glo + x * 2glo) = log[2] * 14 (2glo + 2glox) = log[2] * 14 Reorder the terms for easier multiplication: 2glo + 2glox = 2 * 14glo Multiply 2 * 14 2glo + 2glox = 28glo Solving 2glo + 2glox = 28glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glo' to each side of the equation. 2glo + -28glo + 2glox = 28glo + -28glo Combine like terms: 2glo + -28glo = -26glo -26glo + 2glox = 28glo + -28glo Combine like terms: 28glo + -28glo = 0 -26glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-13 + x) = 0 Ignore the factor 2.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 '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Add '-1x' to each side of the equation. x + -1x = 13 + -1x Combine like terms: x + -1x = 0 0 = 13 + -1x Simplifying 0 = 13 + -1x 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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