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受欢迎的代数 >

2x=ln(3+x)

解答

2 x = ln (3 + x)

解答

x = - \frac{W _{- 1} ( - \frac{2}{e ^{6}} ) + 6}{2}, x = - \frac{W _{0} ( - \frac{2}{e ^{6}} ) + 6}{2}

+1

十进制

x = 0.64694 \dots, x = - 2.99750 \dots

求解步骤

2 x = ln (3 + x)

若

f (x) = g (x)

，则

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

e^{2 x} = e^{l n (3 + x)}

化简

e^{l n (3 + x)} : 3 + x

e^{2 x} = 3 + x

解

e^{2 x} = 3 + x : x = - \frac{W _{- 1} ( - \frac{2}{e ^{6}} ) + 6}{2}, x = - \frac{W _{0} ( - \frac{2}{e ^{6}} ) + 6}{2}

x = - \frac{W _{- 1} ( - \frac{2}{e ^{6}} ) + 6}{2}, x = - \frac{W _{0} ( - \frac{2}{e ^{6}} ) + 6}{2}

验证解:

x = - \frac{W _{- 1} ( - \frac{2}{e ^{6}} ) + 6}{2}

真

, x = - \frac{W _{0} ( - \frac{2}{e ^{6}} ) + 6}{2}

真

解为

x = - \frac{W _{- 1} ( - \frac{2}{e ^{6}} ) + 6}{2}, x = - \frac{W _{0} ( - \frac{2}{e ^{6}} ) + 6}{2}

作图

流行的例子

4 ln (x) = ln (4 x)

log_{3}(x+9)+log_{3}(x+1)=1

lo g_{3} (x + 9) + lo g_{3} (x + 1) = 1

x \frac{1}{240} = ln (x)

ln^{(2)}(x^{(3)})=e

ln^{(2)} (x^{(3)}) = e

e^{-2ln(x)}=-2x

e^{- 2 l n (x)} = - 2 x