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Simplifying 7log3(4x + 3) = 14 Reorder the terms: 7g3lo(3 + 4x) = 14 (3 * 7g3lo + 4x * 7g3lo) = 14 (21g3lo + 28g3lox) = 14 Solving 21g3lo + 28g3lox = 14 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -14 + 21g3lo + 28g3lox = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 21g3lo + 28g3lox = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-2 + 3g3lo + 4g3lox) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-2 + 3g3lo + 4g3lox)' equal to zero and attempt to solve: Simplifying -2 + 3g3lo + 4g3lox = 0 Solving -2 + 3g3lo + 4g3lox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3g3lo + 2 + 4g3lox = 0 + 2 Reorder the terms: -2 + 2 + 3g3lo + 4g3lox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3g3lo + 4g3lox = 0 + 2 3g3lo + 4g3lox = 0 + 2 Combine like terms: 0 + 2 = 2 3g3lo + 4g3lox = 2 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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