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Simplifying log[4] * 12 + -1log[4] * x = log[4] * 6 Reorder the terms for easier multiplication: 4 * 12glo + -1log[4] * x = log[4] * 6 Multiply 4 * 12 48glo + -1log[4] * x = log[4] * 6 Reorder the terms for easier multiplication: 48glo + -1 * 4glo * x = log[4] * 6 Multiply -1 * 4 48glo + -4glo * x = log[4] * 6 Multiply glo * x 48glo + -4glox = log[4] * 6 Reorder the terms for easier multiplication: 48glo + -4glox = 4 * 6glo Multiply 4 * 6 48glo + -4glox = 24glo Solving 48glo + -4glox = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. 48glo + -24glo + -4glox = 24glo + -24glo Combine like terms: 48glo + -24glo = 24glo 24glo + -4glox = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 24glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + x 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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