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Simplifying log(8)(x + 8) = log(8) * 10 Reorder the terms: glo * 8(8 + x) = log(8) * 10 Reorder the terms for easier multiplication: 8glo(8 + x) = log(8) * 10 (8 * 8glo + x * 8glo) = log(8) * 10 (64glo + 8glox) = log(8) * 10 Reorder the terms for easier multiplication: 64glo + 8glox = 8 * 10glo Multiply 8 * 10 64glo + 8glox = 80glo Solving 64glo + 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. 64glo + -80glo + 8glox = 80glo + -80glo Combine like terms: 64glo + -80glo = -16glo -16glo + 8glox = 80glo + -80glo Combine like terms: 80glo + -80glo = 0 -16glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(-2 + x) = 0 Ignore the factor 8.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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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