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Simplifying log8(7x + -1) = log8(5x + 4) Reorder the terms: g8lo(-1 + 7x) = log8(5x + 4) (-1 * g8lo + 7x * g8lo) = log8(5x + 4) (-1g8lo + 7g8lox) = log8(5x + 4) Reorder the terms: -1g8lo + 7g8lox = g8lo(4 + 5x) -1g8lo + 7g8lox = (4 * g8lo + 5x * g8lo) -1g8lo + 7g8lox = (4g8lo + 5g8lox) Solving -1g8lo + 7g8lox = 4g8lo + 5g8lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g8lo' to each side of the equation. -1g8lo + -4g8lo + 7g8lox = 4g8lo + -4g8lo + 5g8lox Combine like terms: -1g8lo + -4g8lo = -5g8lo -5g8lo + 7g8lox = 4g8lo + -4g8lo + 5g8lox Combine like terms: 4g8lo + -4g8lo = 0 -5g8lo + 7g8lox = 0 + 5g8lox -5g8lo + 7g8lox = 5g8lox Add '-5g8lox' to each side of the equation. -5g8lo + 7g8lox + -5g8lox = 5g8lox + -5g8lox Combine like terms: 7g8lox + -5g8lox = 2g8lox -5g8lo + 2g8lox = 5g8lox + -5g8lox Combine like terms: 5g8lox + -5g8lox = 0 -5g8lo + 2g8lox = 0 Factor out the Greatest Common Factor (GCF), 'g8lo'. g8lo(-5 + 2x) = 0Subproblem 1
Set the factor 'g8lo' equal to zero and attempt to solve: Simplifying g8lo = 0 Solving g8lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g8lo = 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 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 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 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Add '-2x' to each side of the equation. 2x + -2x = 5 + -2x Combine like terms: 2x + -2x = 0 0 = 5 + -2x Simplifying 0 = 5 + -2x 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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