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Simplifying log(6x) + -1log(4 + -1x) = log(3) Remove parenthesis around (6x) glo * 6x + -1log(4 + -1x) = log(3) Reorder the terms for easier multiplication: 6glo * x + -1log(4 + -1x) = log(3) Multiply glo * x 6glox + -1log(4 + -1x) = log(3) 6glox + (4 * -1glo + -1x * -1glo) = log(3) 6glox + (-4glo + 1glox) = log(3) Reorder the terms: -4glo + 6glox + 1glox = log(3) Combine like terms: 6glox + 1glox = 7glox -4glo + 7glox = log(3) Reorder the terms for easier multiplication: -4glo + 7glox = 3glo Solving -4glo + 7glox = 3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. -4glo + -3glo + 7glox = 3glo + -3glo Combine like terms: -4glo + -3glo = -7glo -7glo + 7glox = 3glo + -3glo Combine like terms: 3glo + -3glo = 0 -7glo + 7glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-1 + x) = 0 Ignore the factor 7.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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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