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Simplifying log(10x) = log(x + 18) Remove parenthesis around (10x) glo * 10x = log(x + 18) Reorder the terms for easier multiplication: 10glo * x = log(x + 18) Multiply glo * x 10glox = log(x + 18) Reorder the terms: 10glox = glo(18 + x) 10glox = (18 * glo + x * glo) 10glox = (18glo + glox) Solving 10glox = 18glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glo' to each side of the equation. -18glo + 10glox = 18glo + -18glo + glox Combine like terms: 18glo + -18glo = 0 -18glo + 10glox = 0 + glox -18glo + 10glox = glox Add '-1glox' to each side of the equation. -18glo + 10glox + -1glox = glox + -1glox Combine like terms: 10glox + -1glox = 9glox -18glo + 9glox = glox + -1glox Combine like terms: glox + -1glox = 0 -18glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-2 + x) = 0 Ignore the factor 9.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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