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Simplifying log(6x + -7) + log(y) = log(5) Reorder the terms: glo(-7 + 6x) + log(y) = log(5) (-7 * glo + 6x * glo) + log(y) = log(5) (-7glo + 6glox) + log(y) = log(5) Multiply glo * y -7glo + 6glox + gloy = log(5) Reorder the terms for easier multiplication: -7glo + 6glox + gloy = 5glo Solving -7glo + 6glox + gloy = 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. -7glo + 6glox + -5glo + gloy = 5glo + -5glo Reorder the terms: -7glo + -5glo + 6glox + gloy = 5glo + -5glo Combine like terms: -7glo + -5glo = -12glo -12glo + 6glox + gloy = 5glo + -5glo Combine like terms: 5glo + -5glo = 0 -12glo + 6glox + gloy = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-12 + 6x + y) = 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 '(-12 + 6x + y)' equal to zero and attempt to solve: Simplifying -12 + 6x + y = 0 Solving -12 + 6x + y = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6x + 12 + y = 0 + 12 Reorder the terms: -12 + 12 + 6x + y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x + y = 0 + 12 6x + y = 0 + 12 Combine like terms: 0 + 12 = 12 6x + y = 12 Add '-6x' to each side of the equation. 6x + -6x + y = 12 + -6x Combine like terms: 6x + -6x = 0 0 + y = 12 + -6x y = 12 + -6x Add '-1y' to each side of the equation. y + -1y = 12 + -6x + -1y Combine like terms: y + -1y = 0 0 = 12 + -6x + -1y Simplifying 0 = 12 + -6x + -1y 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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