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Simplifying 2log(3) * x = log(3) * 64 Reorder the terms for easier multiplication: 2 * 3glo * x = log(3) * 64 Multiply 2 * 3 6glo * x = log(3) * 64 Multiply glo * x 6glox = log(3) * 64 Reorder the terms for easier multiplication: 6glox = 3 * 64glo Multiply 3 * 64 6glox = 192glo Solving 6glox = 192glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-192glo' to each side of the equation. -192glo + 6glox = 192glo + -192glo Combine like terms: 192glo + -192glo = 0 -192glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(-32 + 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 '(-32 + x)' equal to zero and attempt to solve: Simplifying -32 + x = 0 Solving -32 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + x = 0 + 32 x = 0 + 32 Combine like terms: 0 + 32 = 32 x = 32 Add '-1x' to each side of the equation. x + -1x = 32 + -1x Combine like terms: x + -1x = 0 0 = 32 + -1x Simplifying 0 = 32 + -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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