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Simplifying log[2](12x) + -1log[2](5x2) = 6 Remove parenthesis around (12x) glo * 2 * 12x + -1log[2](5x2) = 6 Reorder the terms for easier multiplication: 2 * 12glo * x + -1log[2](5x2) = 6 Multiply 2 * 12 24glo * x + -1log[2](5x2) = 6 Multiply glo * x 24glox + -1log[2](5x2) = 6 Remove parenthesis around (5x2) 24glox + -1glo * 2 * 5x2 = 6 Reorder the terms for easier multiplication: 24glox + -1 * 2 * 5glo * x2 = 6 Multiply -1 * 2 24glox + -2 * 5glo * x2 = 6 Multiply -2 * 5 24glox + -10glo * x2 = 6 Multiply glo * x2 24glox + -10glox2 = 6 Solving 24glox + -10glox2 = 6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -6 + 24glox + -10glox2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 24glox + -10glox2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 12glox + -5glox2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 12glox + -5glox2)' equal to zero and attempt to solve: Simplifying -3 + 12glox + -5glox2 = 0 Solving -3 + 12glox + -5glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12glox + 3 + -5glox2 = 0 + 3 Reorder the terms: -3 + 3 + 12glox + -5glox2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12glox + -5glox2 = 0 + 3 12glox + -5glox2 = 0 + 3 Combine like terms: 0 + 3 = 3 12glox + -5glox2 = 3 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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