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Simplifying log(8) * x + log(8)(x + -5) = log(8) * 6x Reorder the terms for easier multiplication: 8glo * x + log(8)(x + -5) = log(8) * 6x Multiply glo * x 8glox + log(8)(x + -5) = log(8) * 6x Reorder the terms: 8glox + glo * 8(-5 + x) = log(8) * 6x Reorder the terms for easier multiplication: 8glox + 8glo(-5 + x) = log(8) * 6x 8glox + (-5 * 8glo + x * 8glo) = log(8) * 6x 8glox + (-40glo + 8glox) = log(8) * 6x Reorder the terms: -40glo + 8glox + 8glox = log(8) * 6x Combine like terms: 8glox + 8glox = 16glox -40glo + 16glox = log(8) * 6x Reorder the terms for easier multiplication: -40glo + 16glox = 8 * 6glo * x Multiply 8 * 6 -40glo + 16glox = 48glo * x Multiply glo * x -40glo + 16glox = 48glox Solving -40glo + 16glox = 48glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48glox' to each side of the equation. -40glo + 16glox + -48glox = 48glox + -48glox Combine like terms: 16glox + -48glox = -32glox -40glo + -32glox = 48glox + -48glox Combine like terms: 48glox + -48glox = 0 -40glo + -32glox = 0 Factor out the Greatest Common Factor (GCF), '-8glo'. -8glo(5 + 4x) = 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 '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Add '-4x' to each side of the equation. 4x + -4x = -5 + -4x Combine like terms: 4x + -4x = 0 0 = -5 + -4x Simplifying 0 = -5 + -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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