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Simplifying log4(-4x + 2) = log4(-5x + -5) Reorder the terms: g4lo(2 + -4x) = log4(-5x + -5) (2 * g4lo + -4x * g4lo) = log4(-5x + -5) (2g4lo + -4g4lox) = log4(-5x + -5) Reorder the terms: 2g4lo + -4g4lox = g4lo(-5 + -5x) 2g4lo + -4g4lox = (-5 * g4lo + -5x * g4lo) 2g4lo + -4g4lox = (-5g4lo + -5g4lox) Solving 2g4lo + -4g4lox = -5g4lo + -5g4lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5g4lo' to each side of the equation. 2g4lo + 5g4lo + -4g4lox = -5g4lo + 5g4lo + -5g4lox Combine like terms: 2g4lo + 5g4lo = 7g4lo 7g4lo + -4g4lox = -5g4lo + 5g4lo + -5g4lox Combine like terms: -5g4lo + 5g4lo = 0 7g4lo + -4g4lox = 0 + -5g4lox 7g4lo + -4g4lox = -5g4lox Add '5g4lox' to each side of the equation. 7g4lo + -4g4lox + 5g4lox = -5g4lox + 5g4lox Combine like terms: -4g4lox + 5g4lox = 1g4lox 7g4lo + 1g4lox = -5g4lox + 5g4lox Combine like terms: -5g4lox + 5g4lox = 0 7g4lo + 1g4lox = 0 Factor out the Greatest Common Factor (GCF), 'g4lo'. g4lo(7 + x) = 0Subproblem 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Add '-1x' to each side of the equation. x + -1x = -7 + -1x Combine like terms: x + -1x = 0 0 = -7 + -1x Simplifying 0 = -7 + -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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