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受欢迎的代数 >

x-3ln(x)=0

解答

x - 3 ln (x) = 0

解答

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

+1

十进制

x = 4.53640 \dots, x = 1.85718 \dots

求解步骤

x - 3 ln (x) = 0

将

x

到右边

- 3 ln (x) = - x

两边除以

- 3

ln (x) = \frac{x}{3}

若

f (x) = g (x)

，则

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

e^{l n (x)} = e^{\frac{x}{3}}

化简

e^{l n (x)} : x

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

解

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

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

验证解:

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

真

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

真

解为

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

作图

流行的例子

log_{4}((n+3)^4)=4

lo g_{4} ((n + 3)^{4}) = 4

log_{-2x-3}(3x^2+2x-15)=2

lo g_{- 2 x - 3} (3 x^{2} + 2 x - 15) = 2

log_{1/2}(7-8x)=-2

lo g_{\frac{1}{2}} (7 - 8 x) = - 2

lo g_{2} (4 - x) = 2

log_{3}(4x+8)-7=-3

lo g_{3} (4 x + 8) - 7 = - 3