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Simplifying Log(8) * 3x + log(8) * 6 = 2 Reorder the terms for easier multiplication: 8 * 3goL * x + log(8) * 6 = 2 Multiply 8 * 3 24goL * x + log(8) * 6 = 2 Multiply goL * x 24goxL + log(8) * 6 = 2 Reorder the terms for easier multiplication: 24goxL + 8 * 6glo = 2 Multiply 8 * 6 24goxL + 48glo = 2 Reorder the terms: 48glo + 24goxL = 2 Solving 48glo + 24goxL = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 48glo + 24goxL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 48glo + 24goxL = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 24glo + 12goxL) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 24glo + 12goxL)' equal to zero and attempt to solve: Simplifying -1 + 24glo + 12goxL = 0 Solving -1 + 24glo + 12goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 24glo + 1 + 12goxL = 0 + 1 Reorder the terms: -1 + 1 + 24glo + 12goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 24glo + 12goxL = 0 + 1 24glo + 12goxL = 0 + 1 Combine like terms: 0 + 1 = 1 24glo + 12goxL = 1 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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