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Simplifying Log(4)(5x + 6) + 1 = log(2) * 2x Reorder the terms: goL * 4(6 + 5x) + 1 = log(2) * 2x Reorder the terms for easier multiplication: 4goL(6 + 5x) + 1 = log(2) * 2x (6 * 4goL + 5x * 4goL) + 1 = log(2) * 2x (24goL + 20goxL) + 1 = log(2) * 2x Reorder the terms: 1 + 24goL + 20goxL = log(2) * 2x Reorder the terms for easier multiplication: 1 + 24goL + 20goxL = 2 * 2glo * x Multiply 2 * 2 1 + 24goL + 20goxL = 4glo * x Multiply glo * x 1 + 24goL + 20goxL = 4glox Solving 1 + 24goL + 20goxL = 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glox' to each side of the equation. 1 + 24goL + -4glox + 20goxL = 4glox + -4glox Reorder the terms: 1 + -4glox + 24goL + 20goxL = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 1 + -4glox + 24goL + 20goxL = 0 Add '-1' to each side of the equation. 1 + -4glox + 24goL + -1 + 20goxL = 0 + -1 Reorder the terms: 1 + -1 + -4glox + 24goL + 20goxL = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4glox + 24goL + 20goxL = 0 + -1 -4glox + 24goL + 20goxL = 0 + -1 Combine like terms: 0 + -1 = -1 -4glox + 24goL + 20goxL = -1 Reorder the terms: 1 + -4glox + 24goL + 20goxL = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -4glox + 24goL + 20goxL = 0 The solution to this equation could not be determined.
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