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Simplifying 3log[5](4x + -2) = 15 Reorder the terms: 3glo * 5(-2 + 4x) = 15 Reorder the terms for easier multiplication: 3 * 5glo(-2 + 4x) = 15 Multiply 3 * 5 15glo(-2 + 4x) = 15 (-2 * 15glo + 4x * 15glo) = 15 (-30glo + 60glox) = 15 Solving -30glo + 60glox = 15 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -15 + -30glo + 60glox = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -30glo + 60glox = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(-1 + -2glo + 4glox) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(-1 + -2glo + 4glox)' equal to zero and attempt to solve: Simplifying -1 + -2glo + 4glox = 0 Solving -1 + -2glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2glo + 1 + 4glox = 0 + 1 Reorder the terms: -1 + 1 + -2glo + 4glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2glo + 4glox = 0 + 1 -2glo + 4glox = 0 + 1 Combine like terms: 0 + 1 = 1 -2glo + 4glox = 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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