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Simplifying g(x) = 1og4(x + 1) Multiply g * x gx = 1og4(x + 1) Reorder the terms: gx = 1g4o(1 + x) gx = (1 * 1g4o + x * 1g4o) gx = (1g4o + 1g4ox) Solving gx = 1g4o + 1g4ox Solving for variable 'g'. Reorder the terms: gx + -1g4o + -1g4ox = 1g4o + -1g4o + 1g4ox + -1g4ox Combine like terms: 1g4o + -1g4o = 0 gx + -1g4o + -1g4ox = 0 + 1g4ox + -1g4ox gx + -1g4o + -1g4ox = 1g4ox + -1g4ox Combine like terms: 1g4ox + -1g4ox = 0 gx + -1g4o + -1g4ox = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(x + -1g3o + -1g3ox) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(x + -1g3o + -1g3ox)' equal to zero and attempt to solve: Simplifying x + -1g3o + -1g3ox = 0 Reorder the terms: -1g3o + -1g3ox + x = 0 Solving -1g3o + -1g3ox + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1x' to each side of the equation. -1g3o + -1g3ox + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -1g3o + -1g3ox + 0 = 0 + -1x -1g3o + -1g3ox = 0 + -1x Remove the zero: -1g3o + -1g3ox = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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