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Simplifying log[7](4) + -1log[7](3x) = 0 Reorder the terms for easier multiplication: 7 * 4glo + -1log[7](3x) = 0 Multiply 7 * 4 28glo + -1log[7](3x) = 0 Remove parenthesis around (3x) 28glo + -1glo * 7 * 3x = 0 Reorder the terms for easier multiplication: 28glo + -1 * 7 * 3glo * x = 0 Multiply -1 * 7 28glo + -7 * 3glo * x = 0 Multiply -7 * 3 28glo + -21glo * x = 0 Multiply glo * x 28glo + -21glox = 0 Solving 28glo + -21glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(4 + -3x) = 0 Ignore the factor 7.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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