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Simplifying log4x = log4(8 + -1x) g4lox = (8 * g4lo + -1x * g4lo) g4lox = (8g4lo + -1g4lox) Solving g4lox = 8g4lo + -1g4lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g4lo' to each side of the equation. -8g4lo + g4lox = 8g4lo + -8g4lo + -1g4lox Combine like terms: 8g4lo + -8g4lo = 0 -8g4lo + g4lox = 0 + -1g4lox -8g4lo + g4lox = -1g4lox Add 'g4lox' to each side of the equation. -8g4lo + g4lox + g4lox = -1g4lox + g4lox Combine like terms: g4lox + g4lox = 2g4lox -8g4lo + 2g4lox = -1g4lox + g4lox Combine like terms: -1g4lox + g4lox = 0 -8g4lo + 2g4lox = 0 Factor out the Greatest Common Factor (GCF), '2g4lo'. 2g4lo(-4 + 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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