ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある代数 >

(log_{2}(x))^2-1=0

解

(lo g_{2} (x))^{2} - 1 = 0

解

x = 2, x = \frac{1}{2}

+1

十進法表記

x = 2, x = 0.5

解答ステップ

(lo g_{2} (x))^{2} - 1 = 0

equationを以下で書き換える:

lo g_{2} (x) = u

(u)^{2} - 1 = 0

解く

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

u = 1, u = - 1

再び

u = lo g_{2} (x)

に置き換えて以下を解く:

x

解く

lo g_{2} (x) = 1 : x = 2

解く

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

x = 2, x = \frac{1}{2}

解を検算する:

x = 2

真

, x = \frac{1}{2}

真

解答は

x = 2, x = \frac{1}{2}

グラフ

人気の例

2log_{p}(9)+3log_{3}(p)=8

2 lo g_{p} (9) + 3 lo g_{3} (p) = 8

n/(log_{2)(n)}=8

\frac{n}{lo g _{2} ( n )} = 8

2log_{6}(x-7)+log_{6}(9)=2

2 lo g_{6} (x - 7) + lo g_{6} (9) = 2

log_{8}(x)=0.333

lo g_{8} (x) = 0.333

2log_{3}(x)-log_{27}(x)=10

2 lo g_{3} (x) - lo g_{27} (x) = 10