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