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Simplifying Log(2)(x + 3) + log(2)(x) = log(2) * 5 Reorder the terms: goL * 2(3 + x) + log(2)(x) = log(2) * 5 Reorder the terms for easier multiplication: 2goL(3 + x) + log(2)(x) = log(2) * 5 (3 * 2goL + x * 2goL) + log(2)(x) = log(2) * 5 (6goL + 2goxL) + log(2)(x) = log(2) * 5 Reorder the terms for easier multiplication: 6goL + 2goxL + 2glo * x = log(2) * 5 Multiply glo * x 6goL + 2goxL + 2glox = log(2) * 5 Reorder the terms: 2glox + 6goL + 2goxL = log(2) * 5 Reorder the terms for easier multiplication: 2glox + 6goL + 2goxL = 2 * 5glo Multiply 2 * 5 2glox + 6goL + 2goxL = 10glo Solving 2glox + 6goL + 2goxL = 10glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. 2glox + 6goL + -10glo + 2goxL = 10glo + -10glo Reorder the terms: -10glo + 2glox + 6goL + 2goxL = 10glo + -10glo Combine like terms: 10glo + -10glo = 0 -10glo + 2glox + 6goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), '2go'. 2go(-5l + lx + 3L + 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 '(-5l + lx + 3L + xL)' equal to zero and attempt to solve: Simplifying -5l + lx + 3L + xL = 0 Reorder the terms: 3L + -5l + lx + xL = 0 Solving 3L + -5l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + -5l + lx + -3L + xL = 0 + -3L Reorder the terms: 3L + -3L + -5l + lx + xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + -5l + lx + xL = 0 + -3L -5l + lx + xL = 0 + -3L Remove the zero: -5l + lx + xL = -3L Add '5l' to each side of the equation. -5l + lx + 5l + xL = -3L + 5l Reorder the terms: -5l + 5l + lx + xL = -3L + 5l Combine like terms: -5l + 5l = 0 0 + lx + xL = -3L + 5l lx + xL = -3L + 5l Add '-1lx' to each side of the equation. lx + -1lx + xL = -3L + 5l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = -3L + 5l + -1lx xL = -3L + 5l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = -3L + 5l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = -3L + 5l + -1lx + -1xL Simplifying 0 = -3L + 5l + -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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