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Simplifying 2log7(1 + -2x) = 12 (1 * 2g7lo + -2x * 2g7lo) = 12 (2g7lo + -4g7lox) = 12 Solving 2g7lo + -4g7lox = 12 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -12 + 2g7lo + -4g7lox = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 2g7lo + -4g7lox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + g7lo + -2g7lox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + g7lo + -2g7lox)' equal to zero and attempt to solve: Simplifying -6 + g7lo + -2g7lox = 0 Solving -6 + g7lo + -2g7lox = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + g7lo + 6 + -2g7lox = 0 + 6 Reorder the terms: -6 + 6 + g7lo + -2g7lox = 0 + 6 Combine like terms: -6 + 6 = 0 0 + g7lo + -2g7lox = 0 + 6 g7lo + -2g7lox = 0 + 6 Combine like terms: 0 + 6 = 6 g7lo + -2g7lox = 6 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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