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Divide x to the 5th power by x to the 2nd power?

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x5 / x2 = x3.
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X to the 2nd power plus 2x equals 12?

x2+ 2x = 12 (complete the square)   x^2 + 2x + 1 = 12 + 1   (x + 1)^2 = 13 (square root of both sides)   x + 1 = ±√13 (subtract 1 to both sides)   x = ±√13

What is the derivative of x to the power of ln x?

I don't believe that the answer is ln(x)x^(ln(x)-2), since the power rule doesn't apply when you have the variable in the exponent. Do the following instead:y x^ln(x) Taking t

What is x to the 2nd power -3x plus2 times x minus 2?

Hmm - you need to phrase your question a little better. Which of these are you looking for? x2 - 3x + 2x - 2 = x2 - x - 2 = (x - 2)(x + 1) x2 - (3x + 2)(x - 2) = x2