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Simplifying 2logx(x + 5) = 10 Reorder the terms: 2glox(5 + x) = 10 (5 * 2glox + x * 2glox) = 10 (10glox + 2glox2) = 10 Solving 10glox + 2glox2 = 10 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -10 + 10glox + 2glox2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 10glox + 2glox2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 5glox + glox2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 5glox + glox2)' equal to zero and attempt to solve: Simplifying -5 + 5glox + glox2 = 0 Solving -5 + 5glox + glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5glox + 5 + glox2 = 0 + 5 Reorder the terms: -5 + 5 + 5glox + glox2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5glox + glox2 = 0 + 5 5glox + glox2 = 0 + 5 Combine like terms: 0 + 5 = 5 5glox + glox2 = 5 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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