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Simplifying log9x + log9(x + 4) = log9(x + 18) Reorder the terms: g9lox + g9lo(4 + x) = log9(x + 18) g9lox + (4 * g9lo + x * g9lo) = log9(x + 18) g9lox + (4g9lo + g9lox) = log9(x + 18) Reorder the terms: 4g9lo + g9lox + g9lox = log9(x + 18) Combine like terms: g9lox + g9lox = 2g9lox 4g9lo + 2g9lox = log9(x + 18) Reorder the terms: 4g9lo + 2g9lox = g9lo(18 + x) 4g9lo + 2g9lox = (18 * g9lo + x * g9lo) 4g9lo + 2g9lox = (18g9lo + g9lox) Solving 4g9lo + 2g9lox = 18g9lo + g9lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18g9lo' to each side of the equation. 4g9lo + -18g9lo + 2g9lox = 18g9lo + -18g9lo + g9lox Combine like terms: 4g9lo + -18g9lo = -14g9lo -14g9lo + 2g9lox = 18g9lo + -18g9lo + g9lox Combine like terms: 18g9lo + -18g9lo = 0 -14g9lo + 2g9lox = 0 + g9lox -14g9lo + 2g9lox = g9lox Add '-1g9lox' to each side of the equation. -14g9lo + 2g9lox + -1g9lox = g9lox + -1g9lox Combine like terms: 2g9lox + -1g9lox = 1g9lox -14g9lo + 1g9lox = g9lox + -1g9lox Combine like terms: g9lox + -1g9lox = 0 -14g9lo + 1g9lox = 0 Factor out the Greatest Common Factor (GCF), 'g9lo'. g9lo(-14 + x) = 0Subproblem 1
Set the factor 'g9lo' equal to zero and attempt to solve: Simplifying g9lo = 0 Solving g9lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g9lo = 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 '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Add '-1x' to each side of the equation. x + -1x = 14 + -1x Combine like terms: x + -1x = 0 0 = 14 + -1x Simplifying 0 = 14 + -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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