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Simplifying Log(4x) + 1 = Log(3x + 7) Remove parenthesis around (4x) goL * 4x + 1 = Log(3x + 7) Reorder the terms for easier multiplication: 4goL * x + 1 = Log(3x + 7) Multiply goL * x 4goxL + 1 = Log(3x + 7) Reorder the terms: 1 + 4goxL = Log(3x + 7) Reorder the terms: 1 + 4goxL = goL(7 + 3x) 1 + 4goxL = (7 * goL + 3x * goL) 1 + 4goxL = (7goL + 3goxL) Solving 1 + 4goxL = 7goL + 3goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7goL' to each side of the equation. 1 + -7goL + 4goxL = 7goL + -7goL + 3goxL Combine like terms: 7goL + -7goL = 0 1 + -7goL + 4goxL = 0 + 3goxL 1 + -7goL + 4goxL = 3goxL Add '-3goxL' to each side of the equation. 1 + -7goL + 4goxL + -3goxL = 3goxL + -3goxL Combine like terms: 4goxL + -3goxL = 1goxL 1 + -7goL + 1goxL = 3goxL + -3goxL Combine like terms: 3goxL + -3goxL = 0 1 + -7goL + 1goxL = 0 Add '-1' to each side of the equation. 1 + -7goL + -1 + 1goxL = 0 + -1 Reorder the terms: 1 + -1 + -7goL + 1goxL = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7goL + 1goxL = 0 + -1 -7goL + 1goxL = 0 + -1 Combine like terms: 0 + -1 = -1 -7goL + 1goxL = -1 Reorder the terms: 1 + -7goL + 1goxL = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -7goL + 1goxL = 0 The solution to this equation could not be determined.
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