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Simplifying log(x + -4) + -1log(9) = log(13) Reorder the terms: glo(-4 + x) + -1log(9) = log(13) (-4 * glo + x * glo) + -1log(9) = log(13) (-4glo + glox) + -1log(9) = log(13) Reorder the terms for easier multiplication: -4glo + glox + -1 * 9glo = log(13) Multiply -1 * 9 -4glo + glox + -9glo = log(13) Reorder the terms: -4glo + -9glo + glox = log(13) Combine like terms: -4glo + -9glo = -13glo -13glo + glox = log(13) Reorder the terms for easier multiplication: -13glo + glox = 13glo Solving -13glo + glox = 13glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. -13glo + -13glo + glox = 13glo + -13glo Combine like terms: -13glo + -13glo = -26glo -26glo + glox = 13glo + -13glo Combine like terms: 13glo + -13glo = 0 -26glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-26 + x) = 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 '(-26 + x)' equal to zero and attempt to solve: Simplifying -26 + x = 0 Solving -26 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + x = 0 + 26 x = 0 + 26 Combine like terms: 0 + 26 = 26 x = 26 Add '-1x' to each side of the equation. x + -1x = 26 + -1x Combine like terms: x + -1x = 0 0 = 26 + -1x Simplifying 0 = 26 + -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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