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Simplifying Log(5)(x) + log(5)(4) = log(5)(12) Reorder the terms for easier multiplication: 5goL * x + log(5)(4) = log(5)(12) Multiply goL * x 5goxL + log(5)(4) = log(5)(12) Reorder the terms for easier multiplication: 5goxL + 5 * 4glo = log(5)(12) Multiply 5 * 4 5goxL + 20glo = log(5)(12) Reorder the terms: 20glo + 5goxL = log(5)(12) Reorder the terms for easier multiplication: 20glo + 5goxL = 5 * 12glo Multiply 5 * 12 20glo + 5goxL = 60glo Solving 20glo + 5goxL = 60glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-60glo' to each side of the equation. 20glo + -60glo + 5goxL = 60glo + -60glo Combine like terms: 20glo + -60glo = -40glo -40glo + 5goxL = 60glo + -60glo Combine like terms: 60glo + -60glo = 0 -40glo + 5goxL = 0 Factor out the Greatest Common Factor (GCF), '5go'. 5go(-8l + xL) = 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 '(-8l + xL)' equal to zero and attempt to solve: Simplifying -8l + xL = 0 Solving -8l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '8l' to each side of the equation. -8l + 8l + xL = 0 + 8l Combine like terms: -8l + 8l = 0 0 + xL = 0 + 8l xL = 0 + 8l Remove the zero: xL = 8l Add '-1xL' to each side of the equation. xL + -1xL = 8l + -1xL Combine like terms: xL + -1xL = 0 0 = 8l + -1xL Simplifying 0 = 8l + -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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