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Simplifying log[2](4x) + -1log[2](x + 3) = 2 Remove parenthesis around (4x) glo * 2 * 4x + -1log[2](x + 3) = 2 Reorder the terms for easier multiplication: 2 * 4glo * x + -1log[2](x + 3) = 2 Multiply 2 * 4 8glo * x + -1log[2](x + 3) = 2 Multiply glo * x 8glox + -1log[2](x + 3) = 2 Reorder the terms: 8glox + -1glo * 2(3 + x) = 2 Reorder the terms for easier multiplication: 8glox + -1 * 2glo(3 + x) = 2 Multiply -1 * 2 8glox + -2glo(3 + x) = 2 8glox + (3 * -2glo + x * -2glo) = 2 8glox + (-6glo + -2glox) = 2 Reorder the terms: -6glo + 8glox + -2glox = 2 Combine like terms: 8glox + -2glox = 6glox -6glo + 6glox = 2 Solving -6glo + 6glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -6glo + 6glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -6glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -3glo + 3glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3glo + 3glox)' equal to zero and attempt to solve: Simplifying -1 + -3glo + 3glox = 0 Solving -1 + -3glo + 3glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3glo + 1 + 3glox = 0 + 1 Reorder the terms: -1 + 1 + -3glo + 3glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3glo + 3glox = 0 + 1 -3glo + 3glox = 0 + 1 Combine like terms: 0 + 1 = 1 -3glo + 3glox = 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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