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Simplifying log(x + -6) + -1log(19) = log(5) Reorder the terms: glo(-6 + x) + -1log(19) = log(5) (-6 * glo + x * glo) + -1log(19) = log(5) (-6glo + glox) + -1log(19) = log(5) Reorder the terms for easier multiplication: -6glo + glox + -1 * 19glo = log(5) Multiply -1 * 19 -6glo + glox + -19glo = log(5) Reorder the terms: -6glo + -19glo + glox = log(5) Combine like terms: -6glo + -19glo = -25glo -25glo + glox = log(5) Reorder the terms for easier multiplication: -25glo + glox = 5glo Solving -25glo + glox = 5glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. -25glo + -5glo + glox = 5glo + -5glo Combine like terms: -25glo + -5glo = -30glo -30glo + glox = 5glo + -5glo Combine like terms: 5glo + -5glo = 0 -30glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-30 + 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 '(-30 + x)' equal to zero and attempt to solve: Simplifying -30 + x = 0 Solving -30 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + x = 0 + 30 x = 0 + 30 Combine like terms: 0 + 30 = 30 x = 30 Add '-1x' to each side of the equation. x + -1x = 30 + -1x Combine like terms: x + -1x = 0 0 = 30 + -1x Simplifying 0 = 30 + -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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