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