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Simplifying Logx(4x + -3) + logx(5x + -8) = 2x + -5 Reorder the terms: goxL(-3 + 4x) + logx(5x + -8) = 2x + -5 (-3 * goxL + 4x * goxL) + logx(5x + -8) = 2x + -5 (-3goxL + 4gox2L) + logx(5x + -8) = 2x + -5 Reorder the terms: -3goxL + 4gox2L + glox(-8 + 5x) = 2x + -5 -3goxL + 4gox2L + (-8 * glox + 5x * glox) = 2x + -5 -3goxL + 4gox2L + (-8glox + 5glox2) = 2x + -5 Reorder the terms: -8glox + 5glox2 + -3goxL + 4gox2L = 2x + -5 Reorder the terms: -8glox + 5glox2 + -3goxL + 4gox2L = -5 + 2x Solving -8glox + 5glox2 + -3goxL + 4gox2L = -5 + 2x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 5 + -8glox + 5glox2 + -3goxL + 4gox2L + -2x = -5 + 2x + 5 + -2x Reorder the terms: 5 + -8glox + 5glox2 + -3goxL + 4gox2L + -2x = -5 + 5 + 2x + -2x Combine like terms: -5 + 5 = 0 5 + -8glox + 5glox2 + -3goxL + 4gox2L + -2x = 0 + 2x + -2x 5 + -8glox + 5glox2 + -3goxL + 4gox2L + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 5 + -8glox + 5glox2 + -3goxL + 4gox2L + -2x = 0 The solution to this equation could not be determined.
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