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人気のある代数 >

0.001=(ln(x))/x

解

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

解

x = - \frac{W _{- 1} ( - \frac{1}{1000} )}{0.001}, x = - \frac{W _{0} ( - \frac{1}{1000} )}{0.001}

+1

十進法表記

x = 9118.00647 \dots, x = 1.00100 \dots

解答ステップ

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

辺を交換する

\frac{ln ( x )}{x} = 0.001

以下で両辺を乗じる:

x

ln (x) = 0.001 x

f (x) = g (x)

ならば,

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

e^{l n (x)} = e^{0.001 x}

簡素化

e^{l n (x)} : x

x = e^{0.001 x}

解く

x = e^{0.001 x} : x = - \frac{W _{- 1} ( - \frac{1}{1000} )}{0.001}, x = - \frac{W _{0} ( - \frac{1}{1000} )}{0.001}

x = - \frac{W _{- 1} ( - \frac{1}{1000} )}{0.001}, x = - \frac{W _{0} ( - \frac{1}{1000} )}{0.001}

解を検算する:

x = - \frac{W _{- 1} ( - \frac{1}{1000} )}{0.001}

真

, x = - \frac{W _{0} ( - \frac{1}{1000} )}{0.001}

真

解答は

x = - \frac{W _{- 1} ( - \frac{1}{1000} )}{0.001}, x = - \frac{W _{0} ( - \frac{1}{1000} )}{0.001}

グラフ

人気の例

56x^6ln(x)+15x^6=0

56 x^{6} ln (x) + 15 x^{6} = 0

lo g_{5} (2 x) = 3

ln (w) = - 0.9444

log_{1/5}(2x-3)=-1

lo g_{\frac{1}{5}} (2 x - 3) = - 1

log_{125}(x)= 4/3

lo g_{125} (x) = \frac{4}{3}