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Simplifying log(6)(12) + log(6)(x) = log(6)(24) Reorder the terms for easier multiplication: 6 * 12glo + log(6)(x) = log(6)(24) Multiply 6 * 12 72glo + log(6)(x) = log(6)(24) Reorder the terms for easier multiplication: 72glo + 6glo * x = log(6)(24) Multiply glo * x 72glo + 6glox = log(6)(24) Reorder the terms for easier multiplication: 72glo + 6glox = 6 * 24glo Multiply 6 * 24 72glo + 6glox = 144glo Solving 72glo + 6glox = 144glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-144glo' to each side of the equation. 72glo + -144glo + 6glox = 144glo + -144glo Combine like terms: 72glo + -144glo = -72glo -72glo + 6glox = 144glo + -144glo Combine like terms: 144glo + -144glo = 0 -72glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(-12 + x) = 0 Ignore the factor 6.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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Add '-1x' to each side of the equation. x + -1x = 12 + -1x Combine like terms: x + -1x = 0 0 = 12 + -1x Simplifying 0 = 12 + -1x 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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