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Simplifying Log(5) + log(5)(X + 4) = log(5)(X + 40) Reorder the terms for easier multiplication: 5goL + log(5)(X + 4) = log(5)(X + 40) Reorder the terms: 5goL + glo * 5(4 + X) = log(5)(X + 40) Reorder the terms for easier multiplication: 5goL + 5glo(4 + X) = log(5)(X + 40) 5goL + (4 * 5glo + X * 5glo) = log(5)(X + 40) 5goL + (20glo + 5gloX) = log(5)(X + 40) Reorder the terms: 20glo + 5gloX + 5goL = log(5)(X + 40) Reorder the terms: 20glo + 5gloX + 5goL = glo * 5(40 + X) Reorder the terms for easier multiplication: 20glo + 5gloX + 5goL = 5glo(40 + X) 20glo + 5gloX + 5goL = (40 * 5glo + X * 5glo) 20glo + 5gloX + 5goL = (200glo + 5gloX) Add '-5gloX' to each side of the equation. 20glo + 5gloX + -5gloX + 5goL = 200glo + 5gloX + -5gloX Combine like terms: 5gloX + -5gloX = 0 20glo + 0 + 5goL = 200glo + 5gloX + -5gloX 20glo + 5goL = 200glo + 5gloX + -5gloX Combine like terms: 5gloX + -5gloX = 0 20glo + 5goL = 200glo + 0 20glo + 5goL = 200glo Solving 20glo + 5goL = 200glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-200glo' to each side of the equation. 20glo + -200glo + 5goL = 200glo + -200glo Combine like terms: 20glo + -200glo = -180glo -180glo + 5goL = 200glo + -200glo Combine like terms: 200glo + -200glo = 0 -180glo + 5goL = 0 Factor out the Greatest Common Factor (GCF), '5go'. 5go(-36l + L) = 0 Ignore the factor 5.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 '(-36l + L)' equal to zero and attempt to solve: Simplifying -36l + L = 0 Reorder the terms: L + -36l = 0 Solving L + -36l = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -1L + -36l = 0 + -1L Combine like terms: L + -1L = 0 0 + -36l = 0 + -1L -36l = 0 + -1L Remove the zero: -36l = -1L Add '36l' to each side of the equation. -36l + 36l = -1L + 36l Combine like terms: -36l + 36l = 0 0 = -1L + 36l Simplifying 0 = -1L + 36l 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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