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Simplifying log7(9x) + 3log7(6) = 3 Remove parenthesis around (9x) g7lo * 9x + 3log7(6) = 3 Reorder the terms for easier multiplication: 9g7lo * x + 3log7(6) = 3 Multiply g7lo * x 9g7lox + 3log7(6) = 3 Reorder the terms for easier multiplication: 9g7lox + 3 * 6g7lo = 3 Multiply 3 * 6 9g7lox + 18g7lo = 3 Reorder the terms: 18g7lo + 9g7lox = 3 Solving 18g7lo + 9g7lox = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -3 + 18g7lo + 9g7lox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 18g7lo + 9g7lox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 6g7lo + 3g7lox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 6g7lo + 3g7lox)' equal to zero and attempt to solve: Simplifying -1 + 6g7lo + 3g7lox = 0 Solving -1 + 6g7lo + 3g7lox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6g7lo + 1 + 3g7lox = 0 + 1 Reorder the terms: -1 + 1 + 6g7lo + 3g7lox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6g7lo + 3g7lox = 0 + 1 6g7lo + 3g7lox = 0 + 1 Combine like terms: 0 + 1 = 1 6g7lo + 3g7lox = 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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