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Simplifying ogx + log(x + -18) = log(6x) Reorder the terms: gox + glo(-18 + x) = log(6x) gox + (-18 * glo + x * glo) = log(6x) gox + (-18glo + glox) = log(6x) Reorder the terms: -18glo + glox + gox = log(6x) Remove parenthesis around (6x) -18glo + glox + gox = glo * 6x Reorder the terms for easier multiplication: -18glo + glox + gox = 6glo * x Multiply glo * x -18glo + glox + gox = 6glox Solving -18glo + glox + gox = 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox' to each side of the equation. -18glo + glox + -6glox + gox = 6glox + -6glox Combine like terms: glox + -6glox = -5glox -18glo + -5glox + gox = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -18glo + -5glox + gox = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-18l + -5lx + x) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-18l + -5lx + x)' equal to zero and attempt to solve: Simplifying -18l + -5lx + x = 0 Solving -18l + -5lx + x = 0 Move all terms containing g to the left, all other terms to the right. Add '18l' to each side of the equation. -18l + -5lx + 18l + x = 0 + 18l Reorder the terms: -18l + 18l + -5lx + x = 0 + 18l Combine like terms: -18l + 18l = 0 0 + -5lx + x = 0 + 18l -5lx + x = 0 + 18l Remove the zero: -5lx + x = 18l Add '5lx' to each side of the equation. -5lx + 5lx + x = 18l + 5lx Combine like terms: -5lx + 5lx = 0 0 + x = 18l + 5lx x = 18l + 5lx Add '-1x' to each side of the equation. x + -1x = 18l + 5lx + -1x Combine like terms: x + -1x = 0 0 = 18l + 5lx + -1x Simplifying 0 = 18l + 5lx + -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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