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Simplifying Log(7)(6x + -16) = log(7)(x + -1) Reorder the terms: goL * 7(-16 + 6x) = log(7)(x + -1) Reorder the terms for easier multiplication: 7goL(-16 + 6x) = log(7)(x + -1) (-16 * 7goL + 6x * 7goL) = log(7)(x + -1) (-112goL + 42goxL) = log(7)(x + -1) Reorder the terms: -112goL + 42goxL = glo * 7(-1 + x) Reorder the terms for easier multiplication: -112goL + 42goxL = 7glo(-1 + x) -112goL + 42goxL = (-1 * 7glo + x * 7glo) -112goL + 42goxL = (-7glo + 7glox) Solving -112goL + 42goxL = -7glo + 7glox 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. -112goL + 7glo + 42goxL = -7glo + 7glo + 7glox Reorder the terms: 7glo + -112goL + 42goxL = -7glo + 7glo + 7glox Combine like terms: -7glo + 7glo = 0 7glo + -112goL + 42goxL = 0 + 7glox 7glo + -112goL + 42goxL = 7glox Add '-7glox' to each side of the equation. 7glo + -112goL + -7glox + 42goxL = 7glox + -7glox Reorder the terms: 7glo + -7glox + -112goL + 42goxL = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 7glo + -7glox + -112goL + 42goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(l + -1lx + -16L + 6xL) = 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 '(l + -1lx + -16L + 6xL)' equal to zero and attempt to solve: Simplifying l + -1lx + -16L + 6xL = 0 Reorder the terms: -16L + l + -1lx + 6xL = 0 Solving -16L + l + -1lx + 6xL = 0 Move all terms containing g to the left, all other terms to the right. Add '16L' to each side of the equation. -16L + l + -1lx + 16L + 6xL = 0 + 16L Reorder the terms: -16L + 16L + l + -1lx + 6xL = 0 + 16L Combine like terms: -16L + 16L = 0 0 + l + -1lx + 6xL = 0 + 16L l + -1lx + 6xL = 0 + 16L Remove the zero: l + -1lx + 6xL = 16L Add '-1l' to each side of the equation. l + -1lx + -1l + 6xL = 16L + -1l Reorder the terms: l + -1l + -1lx + 6xL = 16L + -1l Combine like terms: l + -1l = 0 0 + -1lx + 6xL = 16L + -1l -1lx + 6xL = 16L + -1l Add 'lx' to each side of the equation. -1lx + lx + 6xL = 16L + -1l + lx Combine like terms: -1lx + lx = 0 0 + 6xL = 16L + -1l + lx 6xL = 16L + -1l + lx Add '-6xL' to each side of the equation. 6xL + -6xL = 16L + -1l + lx + -6xL Combine like terms: 6xL + -6xL = 0 0 = 16L + -1l + lx + -6xL Simplifying 0 = 16L + -1l + lx + -6xL 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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