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Simplifying log[3](x2 + 45) = 2 + log[3](2x) Reorder the terms: glo * 3(45 + x2) = 2 + log[3](2x) Reorder the terms for easier multiplication: 3glo(45 + x2) = 2 + log[3](2x) (45 * 3glo + x2 * 3glo) = 2 + log[3](2x) (135glo + 3glox2) = 2 + log[3](2x) Remove parenthesis around (2x) 135glo + 3glox2 = 2 + glo * 3 * 2x Reorder the terms for easier multiplication: 135glo + 3glox2 = 2 + 3 * 2glo * x Multiply 3 * 2 135glo + 3glox2 = 2 + 6glo * x Multiply glo * x 135glo + 3glox2 = 2 + 6glox Solving 135glo + 3glox2 = 2 + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox' to each side of the equation. 135glo + -6glox + 3glox2 = 2 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 135glo + -6glox + 3glox2 = 2 + 0 135glo + -6glox + 3glox2 = 2 Reorder the terms: -2 + 135glo + -6glox + 3glox2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 135glo + -6glox + 3glox2 = 0 The solution to this equation could not be determined.
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