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Simplifying log11(-2x + -6) = log11(x + 9) Reorder the terms: g11lo(-6 + -2x) = log11(x + 9) (-6 * g11lo + -2x * g11lo) = log11(x + 9) (-6g11lo + -2g11lox) = log11(x + 9) Reorder the terms: -6g11lo + -2g11lox = g11lo(9 + x) -6g11lo + -2g11lox = (9 * g11lo + x * g11lo) -6g11lo + -2g11lox = (9g11lo + g11lox) Solving -6g11lo + -2g11lox = 9g11lo + g11lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9g11lo' to each side of the equation. -6g11lo + -9g11lo + -2g11lox = 9g11lo + -9g11lo + g11lox Combine like terms: -6g11lo + -9g11lo = -15g11lo -15g11lo + -2g11lox = 9g11lo + -9g11lo + g11lox Combine like terms: 9g11lo + -9g11lo = 0 -15g11lo + -2g11lox = 0 + g11lox -15g11lo + -2g11lox = g11lox Add '-1g11lox' to each side of the equation. -15g11lo + -2g11lox + -1g11lox = g11lox + -1g11lox Combine like terms: -2g11lox + -1g11lox = -3g11lox -15g11lo + -3g11lox = g11lox + -1g11lox Combine like terms: g11lox + -1g11lox = 0 -15g11lo + -3g11lox = 0 Factor out the Greatest Common Factor (GCF), '-3g11lo'. -3g11lo(5 + x) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'g11lo' equal to zero and attempt to solve: Simplifying g11lo = 0 Solving g11lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g11lo = 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 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -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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