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Simplifying log[3](7x + -9) = log[3](4) Reorder the terms: glo * 3(-9 + 7x) = log[3](4) Reorder the terms for easier multiplication: 3glo(-9 + 7x) = log[3](4) (-9 * 3glo + 7x * 3glo) = log[3](4) (-27glo + 21glox) = log[3](4) Reorder the terms for easier multiplication: -27glo + 21glox = 3 * 4glo Multiply 3 * 4 -27glo + 21glox = 12glo Solving -27glo + 21glox = 12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. -27glo + -12glo + 21glox = 12glo + -12glo Combine like terms: -27glo + -12glo = -39glo -39glo + 21glox = 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -39glo + 21glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-13 + 7x) = 0 Ignore the factor 3.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 '(-13 + 7x)' equal to zero and attempt to solve: Simplifying -13 + 7x = 0 Solving -13 + 7x = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 0 + 13 7x = 0 + 13 Combine like terms: 0 + 13 = 13 7x = 13 Add '-7x' to each side of the equation. 7x + -7x = 13 + -7x Combine like terms: 7x + -7x = 0 0 = 13 + -7x Simplifying 0 = 13 + -7x 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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