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Simplifying log4(-1x) = log4(x + 2) Remove parenthesis around (-1x) g4lo * -1x = log4(x + 2) Reorder the terms for easier multiplication: -1g4lo * x = log4(x + 2) Multiply g4lo * x -1g4lox = log4(x + 2) Reorder the terms: -1g4lox = g4lo(2 + x) -1g4lox = (2 * g4lo + x * g4lo) -1g4lox = (2g4lo + g4lox) Solving -1g4lox = 2g4lo + g4lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g4lo' to each side of the equation. -2g4lo + -1g4lox = 2g4lo + -2g4lo + g4lox Combine like terms: 2g4lo + -2g4lo = 0 -2g4lo + -1g4lox = 0 + g4lox -2g4lo + -1g4lox = g4lox Add '-1g4lox' to each side of the equation. -2g4lo + -1g4lox + -1g4lox = g4lox + -1g4lox Combine like terms: -1g4lox + -1g4lox = -2g4lox -2g4lo + -2g4lox = g4lox + -1g4lox Combine like terms: g4lox + -1g4lox = 0 -2g4lo + -2g4lox = 0 Factor out the Greatest Common Factor (GCF), '-2g4lo'. -2g4lo(1 + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'g4lo' equal to zero and attempt to solve: Simplifying g4lo = 0 Solving g4lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g4lo = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -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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