3x=e^{-x}

解答

3 x = e^{- x}

x = W_{0} (\frac{1}{3})

十进制

x = 0.25762 \dots

求解步骤

3 x = e^{- x}

改写

3 x = e^{- x}

为朗伯形式:

e^{x} x = \frac{1}{3}

解

e^{x} x = \frac{1}{3} : x = W_{0} (\frac{1}{3})

x = W_{0} (\frac{1}{3})

5^{x - 2} \cdot 2^{2 x - 3} = 135

3^{\frac{3}{( l o g _{3} ( x ) )}} = 27

4^{x + 2} = 2^{2 x + 3} + 2

(8^{2})^{0} + (8^{2})^{0} = 2^{x}

7 + 2^{x} + 1 = 11