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Simplifying Log(7)(x + 4) = log(7) * x + log(7)(4) Reorder the terms: goL * 7(4 + x) = log(7) * x + log(7)(4) Reorder the terms for easier multiplication: 7goL(4 + x) = log(7) * x + log(7)(4) (4 * 7goL + x * 7goL) = log(7) * x + log(7)(4) (28goL + 7goxL) = log(7) * x + log(7)(4) Reorder the terms for easier multiplication: 28goL + 7goxL = 7glo * x + log(7)(4) Multiply glo * x 28goL + 7goxL = 7glox + log(7)(4) Reorder the terms for easier multiplication: 28goL + 7goxL = 7glox + 7 * 4glo Multiply 7 * 4 28goL + 7goxL = 7glox + 28glo Reorder the terms: 28goL + 7goxL = 28glo + 7glox Solving 28goL + 7goxL = 28glo + 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glo' to each side of the equation. 28goL + -28glo + 7goxL = 28glo + -28glo + 7glox Reorder the terms: -28glo + 28goL + 7goxL = 28glo + -28glo + 7glox Combine like terms: 28glo + -28glo = 0 -28glo + 28goL + 7goxL = 0 + 7glox -28glo + 28goL + 7goxL = 7glox Add '-7glox' to each side of the equation. -28glo + 28goL + -7glox + 7goxL = 7glox + -7glox Reorder the terms: -28glo + -7glox + 28goL + 7goxL = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 -28glo + -7glox + 28goL + 7goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-4l + -1lx + 4L + xL) = 0 Ignore the factor 7.Subproblem 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 '(-4l + -1lx + 4L + xL)' equal to zero and attempt to solve: Simplifying -4l + -1lx + 4L + xL = 0 Reorder the terms: 4L + -4l + -1lx + xL = 0 Solving 4L + -4l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-4L' to each side of the equation. 4L + -4l + -1lx + -4L + xL = 0 + -4L Reorder the terms: 4L + -4L + -4l + -1lx + xL = 0 + -4L Combine like terms: 4L + -4L = 0 0 + -4l + -1lx + xL = 0 + -4L -4l + -1lx + xL = 0 + -4L Remove the zero: -4l + -1lx + xL = -4L Add '4l' to each side of the equation. -4l + -1lx + 4l + xL = -4L + 4l Reorder the terms: -4l + 4l + -1lx + xL = -4L + 4l Combine like terms: -4l + 4l = 0 0 + -1lx + xL = -4L + 4l -1lx + xL = -4L + 4l Add 'lx' to each side of the equation. -1lx + lx + xL = -4L + 4l + lx Combine like terms: -1lx + lx = 0 0 + xL = -4L + 4l + lx xL = -4L + 4l + lx Add '-1xL' to each side of the equation. xL + -1xL = -4L + 4l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -4L + 4l + lx + -1xL Simplifying 0 = -4L + 4l + lx + -1xL 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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