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Simplifying Log(7x + -12) = log(x2) Reorder the terms: goL(-12 + 7x) = log(x2) (-12 * goL + 7x * goL) = log(x2) (-12goL + 7goxL) = log(x2) Multiply glo * x2 -12goL + 7goxL = glox2 Solving -12goL + 7goxL = glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox2' to each side of the equation. -12goL + -1glox2 + 7goxL = glox2 + -1glox2 Reorder the terms: -1glox2 + -12goL + 7goxL = glox2 + -1glox2 Combine like terms: glox2 + -1glox2 = 0 -1glox2 + -12goL + 7goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-1lx2 + -12L + 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 '(-1lx2 + -12L + 7xL)' equal to zero and attempt to solve: Simplifying -1lx2 + -12L + 7xL = 0 Reorder the terms: -12L + -1lx2 + 7xL = 0 Solving -12L + -1lx2 + 7xL = 0 Move all terms containing g to the left, all other terms to the right. Add '12L' to each side of the equation. -12L + -1lx2 + 12L + 7xL = 0 + 12L Reorder the terms: -12L + 12L + -1lx2 + 7xL = 0 + 12L Combine like terms: -12L + 12L = 0 0 + -1lx2 + 7xL = 0 + 12L -1lx2 + 7xL = 0 + 12L Remove the zero: -1lx2 + 7xL = 12L Add 'lx2' to each side of the equation. -1lx2 + lx2 + 7xL = 12L + lx2 Combine like terms: -1lx2 + lx2 = 0 0 + 7xL = 12L + lx2 7xL = 12L + lx2 Add '-7xL' to each side of the equation. 7xL + -7xL = 12L + lx2 + -7xL Combine like terms: 7xL + -7xL = 0 0 = 12L + lx2 + -7xL Simplifying 0 = 12L + lx2 + -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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