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Simplifying logx3 = log2x2 Solving glox3 = g2lox2 Solving for variable 'g'. Combine like terms: g2lox2 + -1g2lox2 = 0 glox3 + -1g2lox2 = 0 Factor out the Greatest Common Factor (GCF), 'glox2'. glox2(x + -1g) = 0Subproblem 1
Set the factor 'glox2' equal to zero and attempt to solve: Simplifying glox2 = 0 Solving glox2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox2 = 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 '(x + -1g)' equal to zero and attempt to solve: Simplifying x + -1g = 0 Reorder the terms: -1g + x = 0 Solving -1g + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1x' to each side of the equation. -1g + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -1g + 0 = 0 + -1x -1g = 0 + -1x Remove the zero: -1g = -1x Divide each side by '-1'. g = x Simplifying g = xSolution
g = {x}
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