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Simplifying log(4x + -7) + log(4x + -7) = 2 Reorder the terms: glo(-7 + 4x) + log(4x + -7) = 2 (-7 * glo + 4x * glo) + log(4x + -7) = 2 (-7glo + 4glox) + log(4x + -7) = 2 Reorder the terms: -7glo + 4glox + glo(-7 + 4x) = 2 -7glo + 4glox + (-7 * glo + 4x * glo) = 2 -7glo + 4glox + (-7glo + 4glox) = 2 Reorder the terms: -7glo + -7glo + 4glox + 4glox = 2 Combine like terms: -7glo + -7glo = -14glo -14glo + 4glox + 4glox = 2 Combine like terms: 4glox + 4glox = 8glox -14glo + 8glox = 2 Solving -14glo + 8glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -14glo + 8glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -14glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -7glo + 4glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -7glo + 4glox)' equal to zero and attempt to solve: Simplifying -1 + -7glo + 4glox = 0 Solving -1 + -7glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -7glo + 1 + 4glox = 0 + 1 Reorder the terms: -1 + 1 + -7glo + 4glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7glo + 4glox = 0 + 1 -7glo + 4glox = 0 + 1 Combine like terms: 0 + 1 = 1 -7glo + 4glox = 1 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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