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Simplifying log[4](3x) = log[4](7) + -1log[4](3) Remove parenthesis around (3x) glo * 4 * 3x = log[4](7) + -1log[4](3) Reorder the terms for easier multiplication: 4 * 3glo * x = log[4](7) + -1log[4](3) Multiply 4 * 3 12glo * x = log[4](7) + -1log[4](3) Multiply glo * x 12glox = log[4](7) + -1log[4](3) Reorder the terms for easier multiplication: 12glox = 4 * 7glo + -1log[4](3) Multiply 4 * 7 12glox = 28glo + -1log[4](3) Reorder the terms for easier multiplication: 12glox = 28glo + -1 * 4 * 3glo Multiply -1 * 4 12glox = 28glo + -4 * 3glo Multiply -4 * 3 12glox = 28glo + -12glo Combine like terms: 28glo + -12glo = 16glo 12glox = 16glo Solving 12glox = 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. -16glo + 12glox = 16glo + -16glo Combine like terms: 16glo + -16glo = 0 -16glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-4 + 3x) = 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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Add '-3x' to each side of the equation. 3x + -3x = 4 + -3x Combine like terms: 3x + -3x = 0 0 = 4 + -3x Simplifying 0 = 4 + -3x 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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