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Simplifying Log(3x + -9) = log(x + 7) Reorder the terms: goL(-9 + 3x) = log(x + 7) (-9 * goL + 3x * goL) = log(x + 7) (-9goL + 3goxL) = log(x + 7) Reorder the terms: -9goL + 3goxL = glo(7 + x) -9goL + 3goxL = (7 * glo + x * glo) -9goL + 3goxL = (7glo + glox) Solving -9goL + 3goxL = 7glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7glo' to each side of the equation. -9goL + -7glo + 3goxL = 7glo + -7glo + glox Reorder the terms: -7glo + -9goL + 3goxL = 7glo + -7glo + glox Combine like terms: 7glo + -7glo = 0 -7glo + -9goL + 3goxL = 0 + glox -7glo + -9goL + 3goxL = glox Add '-1glox' to each side of the equation. -7glo + -9goL + -1glox + 3goxL = glox + -1glox Reorder the terms: -7glo + -1glox + -9goL + 3goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -7glo + -1glox + -9goL + 3goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-7l + -1lx + -9L + 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 '(-7l + -1lx + -9L + 3xL)' equal to zero and attempt to solve: Simplifying -7l + -1lx + -9L + 3xL = 0 Reorder the terms: -9L + -7l + -1lx + 3xL = 0 Solving -9L + -7l + -1lx + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '9L' to each side of the equation. -9L + -7l + -1lx + 9L + 3xL = 0 + 9L Reorder the terms: -9L + 9L + -7l + -1lx + 3xL = 0 + 9L Combine like terms: -9L + 9L = 0 0 + -7l + -1lx + 3xL = 0 + 9L -7l + -1lx + 3xL = 0 + 9L Remove the zero: -7l + -1lx + 3xL = 9L Add '7l' to each side of the equation. -7l + -1lx + 7l + 3xL = 9L + 7l Reorder the terms: -7l + 7l + -1lx + 3xL = 9L + 7l Combine like terms: -7l + 7l = 0 0 + -1lx + 3xL = 9L + 7l -1lx + 3xL = 9L + 7l Add 'lx' to each side of the equation. -1lx + lx + 3xL = 9L + 7l + lx Combine like terms: -1lx + lx = 0 0 + 3xL = 9L + 7l + lx 3xL = 9L + 7l + lx Add '-3xL' to each side of the equation. 3xL + -3xL = 9L + 7l + lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = 9L + 7l + lx + -3xL Simplifying 0 = 9L + 7l + 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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