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Simplifying log[2](4x) + log[2](5) = log[2](40) Remove parenthesis around (4x) glo * 2 * 4x + log[2](5) = log[2](40) Reorder the terms for easier multiplication: 2 * 4glo * x + log[2](5) = log[2](40) Multiply 2 * 4 8glo * x + log[2](5) = log[2](40) Multiply glo * x 8glox + log[2](5) = log[2](40) Reorder the terms for easier multiplication: 8glox + 2 * 5glo = log[2](40) Multiply 2 * 5 8glox + 10glo = log[2](40) Reorder the terms: 10glo + 8glox = log[2](40) Reorder the terms for easier multiplication: 10glo + 8glox = 2 * 40glo Multiply 2 * 40 10glo + 8glox = 80glo Solving 10glo + 8glox = 80glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-80glo' to each side of the equation. 10glo + -80glo + 8glox = 80glo + -80glo Combine like terms: 10glo + -80glo = -70glo -70glo + 8glox = 80glo + -80glo Combine like terms: 80glo + -80glo = 0 -70glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-35 + 4x) = 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 '(-35 + 4x)' equal to zero and attempt to solve: Simplifying -35 + 4x = 0 Solving -35 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 4x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = 0 + 35 4x = 0 + 35 Combine like terms: 0 + 35 = 35 4x = 35 Add '-4x' to each side of the equation. 4x + -4x = 35 + -4x Combine like terms: 4x + -4x = 0 0 = 35 + -4x Simplifying 0 = 35 + -4x 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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