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Simplifying log(x + -5) + -1log(16) = log(8) Reorder the terms: glo(-5 + x) + -1log(16) = log(8) (-5 * glo + x * glo) + -1log(16) = log(8) (-5glo + glox) + -1log(16) = log(8) Reorder the terms for easier multiplication: -5glo + glox + -1 * 16glo = log(8) Multiply -1 * 16 -5glo + glox + -16glo = log(8) Reorder the terms: -5glo + -16glo + glox = log(8) Combine like terms: -5glo + -16glo = -21glo -21glo + glox = log(8) Reorder the terms for easier multiplication: -21glo + glox = 8glo Solving -21glo + glox = 8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. -21glo + -8glo + glox = 8glo + -8glo Combine like terms: -21glo + -8glo = -29glo -29glo + glox = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -29glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-29 + 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 '(-29 + x)' equal to zero and attempt to solve: Simplifying -29 + x = 0 Solving -29 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + x = 0 + 29 x = 0 + 29 Combine like terms: 0 + 29 = 29 x = 29 Add '-1x' to each side of the equation. x + -1x = 29 + -1x Combine like terms: x + -1x = 0 0 = 29 + -1x Simplifying 0 = 29 + -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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