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Simplifying log15(-4n + -1) = log15(n + 4) Reorder the terms: g15lo(-1 + -4n) = log15(n + 4) (-1 * g15lo + -4n * g15lo) = log15(n + 4) Reorder the terms: (-4g15lno + -1g15lo) = log15(n + 4) (-4g15lno + -1g15lo) = log15(n + 4) Reorder the terms: -4g15lno + -1g15lo = g15lo(4 + n) -4g15lno + -1g15lo = (4 * g15lo + n * g15lo) Reorder the terms: -4g15lno + -1g15lo = (g15lno + 4g15lo) -4g15lno + -1g15lo = (g15lno + 4g15lo) Solving -4g15lno + -1g15lo = g15lno + 4g15lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g15lno' to each side of the equation. -4g15lno + -1g15lno + -1g15lo = g15lno + -1g15lno + 4g15lo Combine like terms: -4g15lno + -1g15lno = -5g15lno -5g15lno + -1g15lo = g15lno + -1g15lno + 4g15lo Combine like terms: g15lno + -1g15lno = 0 -5g15lno + -1g15lo = 0 + 4g15lo -5g15lno + -1g15lo = 4g15lo Add '-4g15lo' to each side of the equation. -5g15lno + -1g15lo + -4g15lo = 4g15lo + -4g15lo Combine like terms: -1g15lo + -4g15lo = -5g15lo -5g15lno + -5g15lo = 4g15lo + -4g15lo Combine like terms: 4g15lo + -4g15lo = 0 -5g15lno + -5g15lo = 0 Factor out the Greatest Common Factor (GCF), '-5g15lo'. -5g15lo(n + 1) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'g15lo' equal to zero and attempt to solve: Simplifying g15lo = 0 Solving g15lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g15lo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(n + 1)' equal to zero and attempt to solve: Simplifying n + 1 = 0 Reorder the terms: 1 + n = 0 Solving 1 + n = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Add '-1n' to each side of the equation. n + -1n = -1 + -1n Combine like terms: n + -1n = 0 0 = -1 + -1n Simplifying 0 = -1 + -1n 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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