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Simplifying Log7(4n + -7) = Log7(-3n) Reorder the terms: g7oL(-7 + 4n) = Log7(-3n) (-7 * g7oL + 4n * g7oL) = Log7(-3n) Reorder the terms: (4g7noL + -7g7oL) = Log7(-3n) (4g7noL + -7g7oL) = Log7(-3n) Remove parenthesis around (-3n) 4g7noL + -7g7oL = g7oL * -3n Reorder the terms for easier multiplication: 4g7noL + -7g7oL = -3g7oL * n Multiply g7oL * n 4g7noL + -7g7oL = -3g7noL Solving 4g7noL + -7g7oL = -3g7noL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3g7noL' to each side of the equation. 4g7noL + 3g7noL + -7g7oL = -3g7noL + 3g7noL Combine like terms: 4g7noL + 3g7noL = 7g7noL 7g7noL + -7g7oL = -3g7noL + 3g7noL Combine like terms: -3g7noL + 3g7noL = 0 7g7noL + -7g7oL = 0 Factor out the Greatest Common Factor (GCF), '7g7oL'. 7g7oL(n + -1) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'g7oL' equal to zero and attempt to solve: Simplifying g7oL = 0 Solving g7oL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g7oL = 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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