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Simplifying Log[3](5x + -7)(x + 2) = 1 Reorder the terms: goL * 3(-7 + 5x)(x + 2) = 1 Reorder the terms: goL * 3(-7 + 5x)(2 + x) = 1 Reorder the terms for easier multiplication: 3goL(-7 + 5x)(2 + x) = 1 Multiply (-7 + 5x) * (2 + x) 3goL(-7(2 + x) + 5x * (2 + x)) = 1 3goL((2 * -7 + x * -7) + 5x * (2 + x)) = 1 3goL((-14 + -7x) + 5x * (2 + x)) = 1 3goL(-14 + -7x + (2 * 5x + x * 5x)) = 1 3goL(-14 + -7x + (10x + 5x2)) = 1 Combine like terms: -7x + 10x = 3x 3goL(-14 + 3x + 5x2) = 1 (-14 * 3goL + 3x * 3goL + 5x2 * 3goL) = 1 (-42goL + 9goxL + 15gox2L) = 1 Solving -42goL + 9goxL + 15gox2L = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + -42goL + 9goxL + 15gox2L = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -42goL + 9goxL + 15gox2L = 0 The solution to this equation could not be determined.
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