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Simplifying log[6](x2 + 8) = 1 + log[6](x) Reorder the terms: glo * 6(8 + x2) = 1 + log[6](x) Reorder the terms for easier multiplication: 6glo(8 + x2) = 1 + log[6](x) (8 * 6glo + x2 * 6glo) = 1 + log[6](x) (48glo + 6glox2) = 1 + log[6](x) Reorder the terms for easier multiplication: 48glo + 6glox2 = 1 + 6glo * x Multiply glo * x 48glo + 6glox2 = 1 + 6glox Solving 48glo + 6glox2 = 1 + 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. 48glo + -6glox + 6glox2 = 1 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 48glo + -6glox + 6glox2 = 1 + 0 48glo + -6glox + 6glox2 = 1 Reorder the terms: -1 + 48glo + -6glox + 6glox2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 48glo + -6glox + 6glox2 = 0 The solution to this equation could not be determined.
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