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