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人気のある代数 >

(ln(x))^2-ln(x)=0

解

(ln (x))^{2} - ln (x) = 0

解

x = e, x = 1

+1

十進法表記

x = 2.71828 \dots, x = 1

解答ステップ

(ln (x))^{2} - ln (x) = 0

equationを以下で書き換える:

ln (x) = u

(u)^{2} - u = 0

解く

u^{2} - u = 0 : u = 1, u = 0

u = 1, u = 0

再び

u = ln (x)

に置き換えて以下を解く:

x

解く

ln (x) = 1 : x = e

解く

ln (x) = 0 : x = 1

x = e, x = 1

解を検算する:

x = e

真

, x = 1

真

解答は

x = e, x = 1

グラフ

人気の例

log_{10}((2x+1)/(x-1))=0

lo g_{10} (\frac{2 x + 1}{x - 1}) = 0

- \frac{7}{18} = ln (x) 7

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

\frac{1}{lo g _{2} ( x )} = 5

1/(log_{2)(x)}=1

\frac{1}{lo g _{2} ( x )} = 1

log_{10}(3y-1)=0

lo g_{10} (3 y - 1) = 0