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Simplifying Log[2](2x) = log[2](5x + 4) + -3 Remove parenthesis around (2x) goL * 2 * 2x = log[2](5x + 4) + -3 Reorder the terms for easier multiplication: 2 * 2goL * x = log[2](5x + 4) + -3 Multiply 2 * 2 4goL * x = log[2](5x + 4) + -3 Multiply goL * x 4goxL = log[2](5x + 4) + -3 Reorder the terms: 4goxL = glo * 2(4 + 5x) + -3 Reorder the terms for easier multiplication: 4goxL = 2glo(4 + 5x) + -3 4goxL = (4 * 2glo + 5x * 2glo) + -3 4goxL = (8glo + 10glox) + -3 Reorder the terms: 4goxL = -3 + 8glo + 10glox Solving 4goxL = -3 + 8glo + 10glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. -8glo + 4goxL = -3 + 8glo + -8glo + 10glox Combine like terms: 8glo + -8glo = 0 -8glo + 4goxL = -3 + 0 + 10glox -8glo + 4goxL = -3 + 10glox Add '-10glox' to each side of the equation. -8glo + -10glox + 4goxL = -3 + 10glox + -10glox Combine like terms: 10glox + -10glox = 0 -8glo + -10glox + 4goxL = -3 + 0 -8glo + -10glox + 4goxL = -3 Reorder the terms: 3 + -8glo + -10glox + 4goxL = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -8glo + -10glox + 4goxL = 0 The solution to this equation could not be determined.
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