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Simplifying 5log[2] * x = log[2] * 32 Reorder the terms for easier multiplication: 5 * 2glo * x = log[2] * 32 Multiply 5 * 2 10glo * x = log[2] * 32 Multiply glo * x 10glox = log[2] * 32 Reorder the terms for easier multiplication: 10glox = 2 * 32glo Multiply 2 * 32 10glox = 64glo Solving 10glox = 64glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-64glo' to each side of the equation. -64glo + 10glox = 64glo + -64glo Combine like terms: 64glo + -64glo = 0 -64glo + 10glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-32 + 5x) = 0 Ignore the factor 2.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 + 5x)' equal to zero and attempt to solve: Simplifying -32 + 5x = 0 Solving -32 + 5x = 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 + 5x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 5x = 0 + 32 5x = 0 + 32 Combine like terms: 0 + 32 = 32 5x = 32 Add '-5x' to each side of the equation. 5x + -5x = 32 + -5x Combine like terms: 5x + -5x = 0 0 = 32 + -5x Simplifying 0 = 32 + -5x 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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