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Simplifying log(10 + -4x) = og(10 + -3x) (10 * glo + -4x * glo) = og(10 + -3x) (10glo + -4glox) = og(10 + -3x) 10glo + -4glox = (10 * go + -3x * go) 10glo + -4glox = (10go + -3gox) Solving 10glo + -4glox = 10go + -3gox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10go' to each side of the equation. 10glo + -4glox + -10go = 10go + -10go + -3gox Combine like terms: 10go + -10go = 0 10glo + -4glox + -10go = 0 + -3gox 10glo + -4glox + -10go = -3gox Add '3gox' to each side of the equation. 10glo + -4glox + -10go + 3gox = -3gox + 3gox Combine like terms: -3gox + 3gox = 0 10glo + -4glox + -10go + 3gox = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(10l + -4lx + -10 + 3x) = 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 '(10l + -4lx + -10 + 3x)' equal to zero and attempt to solve: Simplifying 10l + -4lx + -10 + 3x = 0 Reorder the terms: -10 + 10l + -4lx + 3x = 0 Solving -10 + 10l + -4lx + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10l + -4lx + 10 + 3x = 0 + 10 Reorder the terms: -10 + 10 + 10l + -4lx + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10l + -4lx + 3x = 0 + 10 10l + -4lx + 3x = 0 + 10 Combine like terms: 0 + 10 = 10 10l + -4lx + 3x = 10 Add '-10l' to each side of the equation. 10l + -4lx + -10l + 3x = 10 + -10l Reorder the terms: 10l + -10l + -4lx + 3x = 10 + -10l Combine like terms: 10l + -10l = 0 0 + -4lx + 3x = 10 + -10l -4lx + 3x = 10 + -10l Add '4lx' to each side of the equation. -4lx + 4lx + 3x = 10 + -10l + 4lx Combine like terms: -4lx + 4lx = 0 0 + 3x = 10 + -10l + 4lx 3x = 10 + -10l + 4lx Add '-3x' to each side of the equation. 3x + -3x = 10 + -10l + 4lx + -3x Combine like terms: 3x + -3x = 0 0 = 10 + -10l + 4lx + -3x Simplifying 0 = 10 + -10l + 4lx + -3x 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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