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Simplifying log[4](2x3 + -9x2 + x + 20) = 2 Reorder the terms: glo * 4(20 + x + -9x2 + 2x3) = 2 Reorder the terms for easier multiplication: 4glo(20 + x + -9x2 + 2x3) = 2 (20 * 4glo + x * 4glo + -9x2 * 4glo + 2x3 * 4glo) = 2 (80glo + 4glox + -36glox2 + 8glox3) = 2 Solving 80glo + 4glox + -36glox2 + 8glox3 = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 80glo + 4glox + -36glox2 + 8glox3 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 80glo + 4glox + -36glox2 + 8glox3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 40glo + 2glox + -18glox2 + 4glox3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 40glo + 2glox + -18glox2 + 4glox3)' equal to zero and attempt to solve: Simplifying -1 + 40glo + 2glox + -18glox2 + 4glox3 = 0 Solving -1 + 40glo + 2glox + -18glox2 + 4glox3 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 40glo + 2glox + -18glox2 + 1 + 4glox3 = 0 + 1 Reorder the terms: -1 + 1 + 40glo + 2glox + -18glox2 + 4glox3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 40glo + 2glox + -18glox2 + 4glox3 = 0 + 1 40glo + 2glox + -18glox2 + 4glox3 = 0 + 1 Combine like terms: 0 + 1 = 1 40glo + 2glox + -18glox2 + 4glox3 = 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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