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Simplifying log(5) * x = log(5) * 16 + -1log(5) * x Reorder the terms for easier multiplication: 5glo * x = log(5) * 16 + -1log(5) * x Multiply glo * x 5glox = log(5) * 16 + -1log(5) * x Reorder the terms for easier multiplication: 5glox = 5 * 16glo + -1log(5) * x Multiply 5 * 16 5glox = 80glo + -1log(5) * x Reorder the terms for easier multiplication: 5glox = 80glo + -1 * 5glo * x Multiply -1 * 5 5glox = 80glo + -5glo * x Multiply glo * x 5glox = 80glo + -5glox Solving 5glox = 80glo + -5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-80glo' to each side of the equation. -80glo + 5glox = 80glo + -80glo + -5glox Combine like terms: 80glo + -80glo = 0 -80glo + 5glox = 0 + -5glox -80glo + 5glox = -5glox Add '5glox' to each side of the equation. -80glo + 5glox + 5glox = -5glox + 5glox Combine like terms: 5glox + 5glox = 10glox -80glo + 10glox = -5glox + 5glox Combine like terms: -5glox + 5glox = 0 -80glo + 10glox = 0 Factor out the Greatest Common Factor (GCF), '10glo'. 10glo(-8 + x) = 0 Ignore the factor 10.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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -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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