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