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Simplifying Log(7x) + log(2x) = log(150) Remove parenthesis around (7x) goL * 7x + log(2x) = log(150) Reorder the terms for easier multiplication: 7goL * x + log(2x) = log(150) Multiply goL * x 7goxL + log(2x) = log(150) Remove parenthesis around (2x) 7goxL + glo * 2x = log(150) Reorder the terms for easier multiplication: 7goxL + 2glo * x = log(150) Multiply glo * x 7goxL + 2glox = log(150) Reorder the terms: 2glox + 7goxL = log(150) Reorder the terms for easier multiplication: 2glox + 7goxL = 150glo Solving 2glox + 7goxL = 150glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-150glo' to each side of the equation. 2glox + -150glo + 7goxL = 150glo + -150glo Reorder the terms: -150glo + 2glox + 7goxL = 150glo + -150glo Combine like terms: 150glo + -150glo = 0 -150glo + 2glox + 7goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-150l + 2lx + 7xL) = 0Subproblem 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 '(-150l + 2lx + 7xL)' equal to zero and attempt to solve: Simplifying -150l + 2lx + 7xL = 0 Solving -150l + 2lx + 7xL = 0 Move all terms containing g to the left, all other terms to the right. Add '150l' to each side of the equation. -150l + 2lx + 150l + 7xL = 0 + 150l Reorder the terms: -150l + 150l + 2lx + 7xL = 0 + 150l Combine like terms: -150l + 150l = 0 0 + 2lx + 7xL = 0 + 150l 2lx + 7xL = 0 + 150l Remove the zero: 2lx + 7xL = 150l Add '-2lx' to each side of the equation. 2lx + -2lx + 7xL = 150l + -2lx Combine like terms: 2lx + -2lx = 0 0 + 7xL = 150l + -2lx 7xL = 150l + -2lx Add '-7xL' to each side of the equation. 7xL + -7xL = 150l + -2lx + -7xL Combine like terms: 7xL + -7xL = 0 0 = 150l + -2lx + -7xL Simplifying 0 = 150l + -2lx + -7xL 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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