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Simplifying log3(x + -6) + -1log3(2x) = 4 Reorder the terms: g3lo(-6 + x) + -1log3(2x) = 4 (-6 * g3lo + x * g3lo) + -1log3(2x) = 4 (-6g3lo + g3lox) + -1log3(2x) = 4 Remove parenthesis around (2x) -6g3lo + g3lox + -1g3lo * 2x = 4 Reorder the terms for easier multiplication: -6g3lo + g3lox + -1 * 2g3lo * x = 4 Multiply -1 * 2 -6g3lo + g3lox + -2g3lo * x = 4 Multiply g3lo * x -6g3lo + g3lox + -2g3lox = 4 Combine like terms: g3lox + -2g3lox = -1g3lox -6g3lo + -1g3lox = 4 Solving -6g3lo + -1g3lox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + -6g3lo + -1g3lox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -6g3lo + -1g3lox = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 6g3lo + g3lox) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 6g3lo + g3lox)' equal to zero and attempt to solve: Simplifying 4 + 6g3lo + g3lox = 0 Solving 4 + 6g3lo + g3lox = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6g3lo + -4 + g3lox = 0 + -4 Reorder the terms: 4 + -4 + 6g3lo + g3lox = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6g3lo + g3lox = 0 + -4 6g3lo + g3lox = 0 + -4 Combine like terms: 0 + -4 = -4 6g3lo + g3lox = -4 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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