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Simplifying log[4] * X + log[4](x + 3) = log[4] * 4 Reorder the terms for easier multiplication: 4glo * X + log[4](x + 3) = log[4] * 4 Multiply glo * X 4gloX + log[4](x + 3) = log[4] * 4 Reorder the terms: 4gloX + glo * 4(3 + x) = log[4] * 4 Reorder the terms for easier multiplication: 4gloX + 4glo(3 + x) = log[4] * 4 4gloX + (3 * 4glo + x * 4glo) = log[4] * 4 4gloX + (12glo + 4glox) = log[4] * 4 Reorder the terms: 12glo + 4gloX + 4glox = log[4] * 4 Reorder the terms for easier multiplication: 12glo + 4gloX + 4glox = 4 * 4glo Multiply 4 * 4 12glo + 4gloX + 4glox = 16glo Solving 12glo + 4gloX + 4glox = 16glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16glo' to each side of the equation. 12glo + 4gloX + -16glo + 4glox = 16glo + -16glo Reorder the terms: 12glo + -16glo + 4gloX + 4glox = 16glo + -16glo Combine like terms: 12glo + -16glo = -4glo -4glo + 4gloX + 4glox = 16glo + -16glo Combine like terms: 16glo + -16glo = 0 -4glo + 4gloX + 4glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-1 + X + x) = 0 Ignore the factor 4.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 + x)' equal to zero and attempt to solve: Simplifying -1 + X + x = 0 Solving -1 + X + 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 + X + 1 + x = 0 + 1 Reorder the terms: -1 + 1 + X + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X + x = 0 + 1 X + x = 0 + 1 Combine like terms: 0 + 1 = 1 X + x = 1 Add '-1X' to each side of the equation. X + -1X + x = 1 + -1X Combine like terms: X + -1X = 0 0 + x = 1 + -1X x = 1 + -1X Add '-1x' to each side of the equation. x + -1x = 1 + -1X + -1x Combine like terms: x + -1x = 0 0 = 1 + -1X + -1x Simplifying 0 = 1 + -1X + -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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