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Simplifying log(7)(x + -7) + log(7)(x * 2 + 7x + 49) = 4 Reorder the terms: glo * 7(-7 + x) + log(7)(x * 2 + 7x + 49) = 4 Reorder the terms for easier multiplication: 7glo(-7 + x) + log(7)(x * 2 + 7x + 49) = 4 (-7 * 7glo + x * 7glo) + log(7)(x * 2 + 7x + 49) = 4 (-49glo + 7glox) + log(7)(x * 2 + 7x + 49) = 4 Reorder the terms for easier multiplication: -49glo + 7glox + glo * 7(2x + 7x + 49) = 4 Reorder the terms: -49glo + 7glox + glo * 7(49 + 2x + 7x) = 4 Combine like terms: 2x + 7x = 9x -49glo + 7glox + glo * 7(49 + 9x) = 4 Reorder the terms for easier multiplication: -49glo + 7glox + 7glo(49 + 9x) = 4 -49glo + 7glox + (49 * 7glo + 9x * 7glo) = 4 -49glo + 7glox + (343glo + 63glox) = 4 Reorder the terms: -49glo + 343glo + 7glox + 63glox = 4 Combine like terms: -49glo + 343glo = 294glo 294glo + 7glox + 63glox = 4 Combine like terms: 7glox + 63glox = 70glox 294glo + 70glox = 4 Solving 294glo + 70glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + 294glo + 70glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 294glo + 70glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 147glo + 35glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 147glo + 35glox)' equal to zero and attempt to solve: Simplifying -2 + 147glo + 35glox = 0 Solving -2 + 147glo + 35glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 147glo + 2 + 35glox = 0 + 2 Reorder the terms: -2 + 2 + 147glo + 35glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 147glo + 35glox = 0 + 2 147glo + 35glox = 0 + 2 Combine like terms: 0 + 2 = 2 147glo + 35glox = 2 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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