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Simplifying log[4] * 6 + log[4] * 3x = log[4] * 71 Reorder the terms for easier multiplication: 4 * 6glo + log[4] * 3x = log[4] * 71 Multiply 4 * 6 24glo + log[4] * 3x = log[4] * 71 Reorder the terms for easier multiplication: 24glo + 4 * 3glo * x = log[4] * 71 Multiply 4 * 3 24glo + 12glo * x = log[4] * 71 Multiply glo * x 24glo + 12glox = log[4] * 71 Reorder the terms for easier multiplication: 24glo + 12glox = 4 * 71glo Multiply 4 * 71 24glo + 12glox = 284glo Solving 24glo + 12glox = 284glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-284glo' to each side of the equation. 24glo + -284glo + 12glox = 284glo + -284glo Combine like terms: 24glo + -284glo = -260glo -260glo + 12glox = 284glo + -284glo Combine like terms: 284glo + -284glo = 0 -260glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-65 + 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 '(-65 + 3x)' equal to zero and attempt to solve: Simplifying -65 + 3x = 0 Solving -65 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 3x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 3x = 0 + 65 3x = 0 + 65 Combine like terms: 0 + 65 = 65 3x = 65 Add '-3x' to each side of the equation. 3x + -3x = 65 + -3x Combine like terms: 3x + -3x = 0 0 = 65 + -3x Simplifying 0 = 65 + -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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