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Simplifying log[4](x + 5) + log[4] * x = log[4] * 14 Reorder the terms: glo * 4(5 + x) + log[4] * x = log[4] * 14 Reorder the terms for easier multiplication: 4glo(5 + x) + log[4] * x = log[4] * 14 (5 * 4glo + x * 4glo) + log[4] * x = log[4] * 14 (20glo + 4glox) + log[4] * x = log[4] * 14 Reorder the terms for easier multiplication: 20glo + 4glox + 4glo * x = log[4] * 14 Multiply glo * x 20glo + 4glox + 4glox = log[4] * 14 Combine like terms: 4glox + 4glox = 8glox 20glo + 8glox = log[4] * 14 Reorder the terms for easier multiplication: 20glo + 8glox = 4 * 14glo Multiply 4 * 14 20glo + 8glox = 56glo Solving 20glo + 8glox = 56glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-56glo' to each side of the equation. 20glo + -56glo + 8glox = 56glo + -56glo Combine like terms: 20glo + -56glo = -36glo -36glo + 8glox = 56glo + -56glo Combine like terms: 56glo + -56glo = 0 -36glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-9 + 2x) = 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 '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Add '-2x' to each side of the equation. 2x + -2x = 9 + -2x Combine like terms: 2x + -2x = 0 0 = 9 + -2x Simplifying 0 = 9 + -2x 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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