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Simplifying log(8)(2) + log(8)(2x2) = 4 Reorder the terms for easier multiplication: 8 * 2glo + log(8)(2x2) = 4 Multiply 8 * 2 16glo + log(8)(2x2) = 4 Remove parenthesis around (2x2) 16glo + glo * 8 * 2x2 = 4 Reorder the terms for easier multiplication: 16glo + 8 * 2glo * x2 = 4 Multiply 8 * 2 16glo + 16glo * x2 = 4 Multiply glo * x2 16glo + 16glox2 = 4 Solving 16glo + 16glox2 = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + 16glo + 16glox2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 16glo + 16glox2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 4glo + 4glox2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + 4glo + 4glox2)' equal to zero and attempt to solve: Simplifying -1 + 4glo + 4glox2 = 0 Solving -1 + 4glo + 4glox2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4glo + 1 + 4glox2 = 0 + 1 Reorder the terms: -1 + 1 + 4glo + 4glox2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4glo + 4glox2 = 0 + 1 4glo + 4glox2 = 0 + 1 Combine like terms: 0 + 1 = 1 4glo + 4glox2 = 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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