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Simplifying log[4](x) + -1log[4](x + 3) = log[4](40) Reorder the terms for easier multiplication: 4glo * x + -1log[4](x + 3) = log[4](40) Multiply glo * x 4glox + -1log[4](x + 3) = log[4](40) Reorder the terms: 4glox + -1glo * 4(3 + x) = log[4](40) Reorder the terms for easier multiplication: 4glox + -1 * 4glo(3 + x) = log[4](40) Multiply -1 * 4 4glox + -4glo(3 + x) = log[4](40) 4glox + (3 * -4glo + x * -4glo) = log[4](40) 4glox + (-12glo + -4glox) = log[4](40) Reorder the terms: -12glo + 4glox + -4glox = log[4](40) Combine like terms: 4glox + -4glox = 0 -12glo + 0 = log[4](40) -12glo = log[4](40) Reorder the terms for easier multiplication: -12glo = 4 * 40glo Multiply 4 * 40 -12glo = 160glo Solving -12glo = 160glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-160glo' to each side of the equation. -12glo + -160glo = 160glo + -160glo Combine like terms: -12glo + -160glo = -172glo -172glo = 160glo + -160glo Combine like terms: 160glo + -160glo = 0 -172glo = 0 Divide each side by '-172'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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