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Simplifying log(5)(4x + -3) = 25 Reorder the terms: glo * 5(-3 + 4x) = 25 Reorder the terms for easier multiplication: 5glo(-3 + 4x) = 25 (-3 * 5glo + 4x * 5glo) = 25 (-15glo + 20glox) = 25 Solving -15glo + 20glox = 25 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -25 + -15glo + 20glox = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + -15glo + 20glox = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-5 + -3glo + 4glox) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -3glo + 4glox)' equal to zero and attempt to solve: Simplifying -5 + -3glo + 4glox = 0 Solving -5 + -3glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -3glo + 5 + 4glox = 0 + 5 Reorder the terms: -5 + 5 + -3glo + 4glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3glo + 4glox = 0 + 5 -3glo + 4glox = 0 + 5 Combine like terms: 0 + 5 = 5 -3glo + 4glox = 5 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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