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Simplifying log(4) * 5 = log(4) * 10 + log(4) * x Reorder the terms for easier multiplication: 4 * 5glo = log(4) * 10 + log(4) * x Multiply 4 * 5 20glo = log(4) * 10 + log(4) * x Reorder the terms for easier multiplication: 20glo = 4 * 10glo + log(4) * x Multiply 4 * 10 20glo = 40glo + log(4) * x Reorder the terms for easier multiplication: 20glo = 40glo + 4glo * x Multiply glo * x 20glo = 40glo + 4glox Solving 20glo = 40glo + 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-40glo' to each side of the equation. 20glo + -40glo = 40glo + -40glo + 4glox Combine like terms: 20glo + -40glo = -20glo -20glo = 40glo + -40glo + 4glox Combine like terms: 40glo + -40glo = 0 -20glo = 0 + 4glox -20glo = 4glox Add '-4glox' to each side of the equation. -20glo + -4glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 -20glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '-4glo'. -4glo(5 + x) = 0 Ignore the factor -4.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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -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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