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Simplifying log6(x + -4) + log6(4) = log6(45) Reorder the terms: g6lo(-4 + x) + log6(4) = log6(45) (-4 * g6lo + x * g6lo) + log6(4) = log6(45) (-4g6lo + g6lox) + log6(4) = log6(45) Reorder the terms for easier multiplication: -4g6lo + g6lox + 4g6lo = log6(45) Reorder the terms: -4g6lo + 4g6lo + g6lox = log6(45) Combine like terms: -4g6lo + 4g6lo = 0 0 + g6lox = log6(45) g6lox = log6(45) Reorder the terms for easier multiplication: g6lox = 45g6lo Solving g6lox = 45g6lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-45g6lo' to each side of the equation. -45g6lo + g6lox = 45g6lo + -45g6lo Combine like terms: 45g6lo + -45g6lo = 0 -45g6lo + g6lox = 0 Factor out the Greatest Common Factor (GCF), 'g6lo'. g6lo(-45 + x) = 0Subproblem 1
Set the factor 'g6lo' equal to zero and attempt to solve: Simplifying g6lo = 0 Solving g6lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g6lo = 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 '(-45 + x)' equal to zero and attempt to solve: Simplifying -45 + x = 0 Solving -45 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + x = 0 + 45 x = 0 + 45 Combine like terms: 0 + 45 = 45 x = 45 Add '-1x' to each side of the equation. x + -1x = 45 + -1x Combine like terms: x + -1x = 0 0 = 45 + -1x Simplifying 0 = 45 + -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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