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Simplifying log(9x + 7) + -1logx = Log(x + 7) Reorder the terms: glo(7 + 9x) + -1logx = Log(x + 7) (7 * glo + 9x * glo) + -1logx = Log(x + 7) (7glo + 9glox) + -1logx = Log(x + 7) Combine like terms: 9glox + -1glox = 8glox 7glo + 8glox = Log(x + 7) Reorder the terms: 7glo + 8glox = goL(7 + x) 7glo + 8glox = (7 * goL + x * goL) 7glo + 8glox = (7goL + goxL) Solving 7glo + 8glox = 7goL + goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7goL' to each side of the equation. 7glo + 8glox + -7goL = 7goL + -7goL + goxL Combine like terms: 7goL + -7goL = 0 7glo + 8glox + -7goL = 0 + goxL 7glo + 8glox + -7goL = goxL Add '-1goxL' to each side of the equation. 7glo + 8glox + -7goL + -1goxL = goxL + -1goxL Combine like terms: goxL + -1goxL = 0 7glo + 8glox + -7goL + -1goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(7l + 8lx + -7L + -1xL) = 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 + 8lx + -7L + -1xL)' equal to zero and attempt to solve: Simplifying 7l + 8lx + -7L + -1xL = 0 Reorder the terms: -7L + 7l + 8lx + -1xL = 0 Solving -7L + 7l + 8lx + -1xL = 0 Move all terms containing g to the left, all other terms to the right. Add '7L' to each side of the equation. -7L + 7l + 8lx + 7L + -1xL = 0 + 7L Reorder the terms: -7L + 7L + 7l + 8lx + -1xL = 0 + 7L Combine like terms: -7L + 7L = 0 0 + 7l + 8lx + -1xL = 0 + 7L 7l + 8lx + -1xL = 0 + 7L Remove the zero: 7l + 8lx + -1xL = 7L Add '-7l' to each side of the equation. 7l + 8lx + -7l + -1xL = 7L + -7l Reorder the terms: 7l + -7l + 8lx + -1xL = 7L + -7l Combine like terms: 7l + -7l = 0 0 + 8lx + -1xL = 7L + -7l 8lx + -1xL = 7L + -7l Add '-8lx' to each side of the equation. 8lx + -8lx + -1xL = 7L + -7l + -8lx Combine like terms: 8lx + -8lx = 0 0 + -1xL = 7L + -7l + -8lx -1xL = 7L + -7l + -8lx Add 'xL' to each side of the equation. -1xL + xL = 7L + -7l + -8lx + xL Combine like terms: -1xL + xL = 0 0 = 7L + -7l + -8lx + xL Simplifying 0 = 7L + -7l + -8lx + xL 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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