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Simplifying log[2](4x + -2) = 7 + -1log[2](2x + 5) Reorder the terms: glo * 2(-2 + 4x) = 7 + -1log[2](2x + 5) Reorder the terms for easier multiplication: 2glo(-2 + 4x) = 7 + -1log[2](2x + 5) (-2 * 2glo + 4x * 2glo) = 7 + -1log[2](2x + 5) (-4glo + 8glox) = 7 + -1log[2](2x + 5) Reorder the terms: -4glo + 8glox = 7 + -1glo * 2(5 + 2x) Reorder the terms for easier multiplication: -4glo + 8glox = 7 + -1 * 2glo(5 + 2x) Multiply -1 * 2 -4glo + 8glox = 7 + -2glo(5 + 2x) -4glo + 8glox = 7 + (5 * -2glo + 2x * -2glo) -4glo + 8glox = 7 + (-10glo + -4glox) Solving -4glo + 8glox = 7 + -10glo + -4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10glo' to each side of the equation. -4glo + 10glo + 8glox = 7 + -10glo + 10glo + -4glox Combine like terms: -4glo + 10glo = 6glo 6glo + 8glox = 7 + -10glo + 10glo + -4glox Combine like terms: -10glo + 10glo = 0 6glo + 8glox = 7 + 0 + -4glox 6glo + 8glox = 7 + -4glox Add '4glox' to each side of the equation. 6glo + 8glox + 4glox = 7 + -4glox + 4glox Combine like terms: 8glox + 4glox = 12glox 6glo + 12glox = 7 + -4glox + 4glox Combine like terms: -4glox + 4glox = 0 6glo + 12glox = 7 + 0 6glo + 12glox = 7 Reorder the terms: -7 + 6glo + 12glox = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 6glo + 12glox = 0 The solution to this equation could not be determined.
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