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Simplifying log(2x) = Log(x) + Log(x) Remove parenthesis around (2x) glo * 2x = Log(x) + Log(x) Reorder the terms for easier multiplication: 2glo * x = Log(x) + Log(x) Multiply glo * x 2glox = Log(x) + Log(x) Multiply goL * x 2glox = goxL + Log(x) Multiply goL * x 2glox = goxL + goxL Combine like terms: goxL + goxL = 2goxL 2glox = 2goxL Solving 2glox = 2goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2goxL' to each side of the equation. 2glox + -2goxL = 2goxL + -2goxL Combine like terms: 2goxL + -2goxL = 0 2glox + -2goxL = 0 Factor out the Greatest Common Factor (GCF), '2gox'. 2gox(l + -1L) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 '(l + -1L)' equal to zero and attempt to solve: Simplifying l + -1L = 0 Reorder the terms: -1L + l = 0 Solving -1L + l = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + L + l = 0 + L Combine like terms: -1L + L = 0 0 + l = 0 + L l = 0 + L Remove the zero: l = L Add '-1l' to each side of the equation. l + -1l = L + -1l Combine like terms: l + -1l = 0 0 = L + -1l Simplifying 0 = L + -1l 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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