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Simplifying 2log[13](x + -4) + -1log[13] * 36 = log[13] * 4 Reorder the terms: 2glo * 13(-4 + x) + -1log[13] * 36 = log[13] * 4 Reorder the terms for easier multiplication: 2 * 13glo(-4 + x) + -1log[13] * 36 = log[13] * 4 Multiply 2 * 13 26glo(-4 + x) + -1log[13] * 36 = log[13] * 4 (-4 * 26glo + x * 26glo) + -1log[13] * 36 = log[13] * 4 (-104glo + 26glox) + -1log[13] * 36 = log[13] * 4 Reorder the terms for easier multiplication: -104glo + 26glox + -1 * 13 * 36glo = log[13] * 4 Multiply -1 * 13 -104glo + 26glox + -13 * 36glo = log[13] * 4 Multiply -13 * 36 -104glo + 26glox + -468glo = log[13] * 4 Reorder the terms: -104glo + -468glo + 26glox = log[13] * 4 Combine like terms: -104glo + -468glo = -572glo -572glo + 26glox = log[13] * 4 Reorder the terms for easier multiplication: -572glo + 26glox = 13 * 4glo Multiply 13 * 4 -572glo + 26glox = 52glo Solving -572glo + 26glox = 52glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-52glo' to each side of the equation. -572glo + -52glo + 26glox = 52glo + -52glo Combine like terms: -572glo + -52glo = -624glo -624glo + 26glox = 52glo + -52glo Combine like terms: 52glo + -52glo = 0 -624glo + 26glox = 0 Factor out the Greatest Common Factor (GCF), '26glo'. 26glo(-24 + x) = 0 Ignore the factor 26.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 '(-24 + x)' equal to zero and attempt to solve: Simplifying -24 + x = 0 Solving -24 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + x = 0 + 24 x = 0 + 24 Combine like terms: 0 + 24 = 24 x = 24 Add '-1x' to each side of the equation. x + -1x = 24 + -1x Combine like terms: x + -1x = 0 0 = 24 + -1x Simplifying 0 = 24 + -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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