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Simplifying log(8x + 10) + -1log(4x + 4) = 2 Reorder the terms: glo(10 + 8x) + -1log(4x + 4) = 2 (10 * glo + 8x * glo) + -1log(4x + 4) = 2 (10glo + 8glox) + -1log(4x + 4) = 2 Reorder the terms: 10glo + 8glox + -1glo(4 + 4x) = 2 10glo + 8glox + (4 * -1glo + 4x * -1glo) = 2 10glo + 8glox + (-4glo + -4glox) = 2 Reorder the terms: 10glo + -4glo + 8glox + -4glox = 2 Combine like terms: 10glo + -4glo = 6glo 6glo + 8glox + -4glox = 2 Combine like terms: 8glox + -4glox = 4glox 6glo + 4glox = 2 Solving 6glo + 4glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 6glo + 4glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 6glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 3glo + 2glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 3glo + 2glox)' equal to zero and attempt to solve: Simplifying -1 + 3glo + 2glox = 0 Solving -1 + 3glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3glo + 1 + 2glox = 0 + 1 Reorder the terms: -1 + 1 + 3glo + 2glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3glo + 2glox = 0 + 1 3glo + 2glox = 0 + 1 Combine like terms: 0 + 1 = 1 3glo + 2glox = 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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