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Simplifying Log[2](x + 5) + log[2](x) = log[2](14) Reorder the terms: goL * 2(5 + x) + log[2](x) = log[2](14) Reorder the terms for easier multiplication: 2goL(5 + x) + log[2](x) = log[2](14) (5 * 2goL + x * 2goL) + log[2](x) = log[2](14) (10goL + 2goxL) + log[2](x) = log[2](14) Reorder the terms for easier multiplication: 10goL + 2goxL + 2glo * x = log[2](14) Multiply glo * x 10goL + 2goxL + 2glox = log[2](14) Reorder the terms: 2glox + 10goL + 2goxL = log[2](14) Reorder the terms for easier multiplication: 2glox + 10goL + 2goxL = 2 * 14glo Multiply 2 * 14 2glox + 10goL + 2goxL = 28glo Solving 2glox + 10goL + 2goxL = 28glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glo' to each side of the equation. 2glox + 10goL + -28glo + 2goxL = 28glo + -28glo Reorder the terms: -28glo + 2glox + 10goL + 2goxL = 28glo + -28glo Combine like terms: 28glo + -28glo = 0 -28glo + 2glox + 10goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), '2go'. 2go(-14l + lx + 5L + xL) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-14l + lx + 5L + xL)' equal to zero and attempt to solve: Simplifying -14l + lx + 5L + xL = 0 Reorder the terms: 5L + -14l + lx + xL = 0 Solving 5L + -14l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -14l + lx + -5L + xL = 0 + -5L Reorder the terms: 5L + -5L + -14l + lx + xL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -14l + lx + xL = 0 + -5L -14l + lx + xL = 0 + -5L Remove the zero: -14l + lx + xL = -5L Add '14l' to each side of the equation. -14l + lx + 14l + xL = -5L + 14l Reorder the terms: -14l + 14l + lx + xL = -5L + 14l Combine like terms: -14l + 14l = 0 0 + lx + xL = -5L + 14l lx + xL = -5L + 14l Add '-1lx' to each side of the equation. lx + -1lx + xL = -5L + 14l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = -5L + 14l + -1lx xL = -5L + 14l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = -5L + 14l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = -5L + 14l + -1lx + -1xL Simplifying 0 = -5L + 14l + -1lx + -1xL 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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