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Simplifying log(6) * 4m + log(6) * 3 = 2 Reorder the terms for easier multiplication: 6 * 4glo * m + log(6) * 3 = 2 Multiply 6 * 4 24glo * m + log(6) * 3 = 2 Multiply glo * m 24glmo + log(6) * 3 = 2 Reorder the terms for easier multiplication: 24glmo + 6 * 3glo = 2 Multiply 6 * 3 24glmo + 18glo = 2 Solving 24glmo + 18glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 24glmo + 18glo = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 24glmo + 18glo = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 12glmo + 9glo) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 12glmo + 9glo)' equal to zero and attempt to solve: Simplifying -1 + 12glmo + 9glo = 0 Solving -1 + 12glmo + 9glo = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 12glmo + 1 + 9glo = 0 + 1 Reorder the terms: -1 + 1 + 12glmo + 9glo = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12glmo + 9glo = 0 + 1 12glmo + 9glo = 0 + 1 Combine like terms: 0 + 1 = 1 12glmo + 9glo = 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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