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solvefor y,ln(xy9)=xy

解答

求解

y, ln (x y 9) = x y

解答

y = - \frac{W _{- 1} ( - \frac{1}{9} )}{x} {x < 0 or x > 0}, y = - \frac{W _{0} ( - \frac{1}{9} )}{x} {x < 0 or x > 0}

求解步骤

ln (x y \cdot 9) = x y

若

f (x) = g (x)

，则

a^{f (x)} = a^{g (x)}

e^{l n (x y \cdot 9)} = e^{x y}

化简

e^{l n (x y \cdot 9)} : 9 y x

9 y x = e^{x y}

解

9 y x = e^{x y} : y = - \frac{W _{- 1} ( - \frac{1}{9} )}{x}, y = - \frac{W _{0} ( - \frac{1}{9} )}{x}

y = - \frac{W _{- 1} ( - \frac{1}{9} )}{x}, y = - \frac{W _{0} ( - \frac{1}{9} )}{x}

验证解:

y = - \frac{W _{- 1} ( - \frac{1}{9} )}{x} {x < 0 or x > 0}, y = - \frac{W _{0} ( - \frac{1}{9} )}{x} {x < 0 or x > 0}

解为

y = - \frac{W _{- 1} ( - \frac{1}{9} )}{x} {x < 0 or x > 0}, y = - \frac{W _{0} ( - \frac{1}{9} )}{x} {x < 0 or x > 0}

作图

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