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Simplifying log(8) + log(x + 9) = log(128) Reorder the terms for easier multiplication: 8glo + log(x + 9) = log(128) Reorder the terms: 8glo + glo(9 + x) = log(128) 8glo + (9 * glo + x * glo) = log(128) 8glo + (9glo + glox) = log(128) Combine like terms: 8glo + 9glo = 17glo 17glo + glox = log(128) Reorder the terms for easier multiplication: 17glo + glox = 128glo Solving 17glo + glox = 128glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-128glo' to each side of the equation. 17glo + -128glo + glox = 128glo + -128glo Combine like terms: 17glo + -128glo = -111glo -111glo + glox = 128glo + -128glo Combine like terms: 128glo + -128glo = 0 -111glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-111 + x) = 0Subproblem 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 '(-111 + x)' equal to zero and attempt to solve: Simplifying -111 + x = 0 Solving -111 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '111' to each side of the equation. -111 + 111 + x = 0 + 111 Combine like terms: -111 + 111 = 0 0 + x = 0 + 111 x = 0 + 111 Combine like terms: 0 + 111 = 111 x = 111 Add '-1x' to each side of the equation. x + -1x = 111 + -1x Combine like terms: x + -1x = 0 0 = 111 + -1x Simplifying 0 = 111 + -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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