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Simplifying Log(9x2) = Log(6x) Remove parenthesis around (9x2) goL * 9x2 = Log(6x) Reorder the terms for easier multiplication: 9goL * x2 = Log(6x) Multiply goL * x2 9gox2L = Log(6x) Remove parenthesis around (6x) 9gox2L = goL * 6x Reorder the terms for easier multiplication: 9gox2L = 6goL * x Multiply goL * x 9gox2L = 6goxL Solving 9gox2L = 6goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6goxL' to each side of the equation. -6goxL + 9gox2L = 6goxL + -6goxL Combine like terms: 6goxL + -6goxL = 0 -6goxL + 9gox2L = 0 Factor out the Greatest Common Factor (GCF), '3goxL'. 3goxL(-2 + 3x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'goxL' equal to zero and attempt to solve: Simplifying goxL = 0 Solving goxL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goxL = 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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 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 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Add '-3x' to each side of the equation. 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 0 = 2 + -3x Simplifying 0 = 2 + -3x 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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