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人気のある代数 >

(log_{10}(x^2))^2=1

解

(lo g_{10} (x^{2}))^{2} = 1

解

x = 10, x = - 10, x = \frac{1}{10}, x = - \frac{1}{10}

+1

十進法表記

x = 3.16227 \dots, x = - 3.16227 \dots, x = 0.31622 \dots, x = - 0.31622 \dots

解答ステップ

(lo g_{10} (x^{2}))^{2} = 1

equationを以下で書き換える:

lo g_{10} (x^{2}) = u

(u)^{2} = 1

解く

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

u = 1, u = - 1

再び

u = lo g_{10} (x^{2})

に置き換えて以下を解く:

x

解く

lo g_{10} (x^{2}) = 1 : x = 10, x = - 10

解く

lo g_{10} (x^{2}) = - 1 : x = \frac{1}{10}, x = - \frac{1}{10}

x = 10, x = - 10, x = \frac{1}{10}, x = - \frac{1}{10}

解を検算する:

x = 10

真

, x = - 10

真

, x = \frac{1}{10}

真

, x = - \frac{1}{10}

真

解答は

x = 10, x = - 10, x = \frac{1}{10}, x = - \frac{1}{10}

グラフ

人気の例

ln(x+2)=ln(12)-ln(x+3)

ln (x + 2) = ln (12) - ln (x + 3)

log_{10}(sqrt(C))=10

lo g_{10} (C) = 10

log_{10}(x)=-log_{10}(ab)

lo g_{10} (x) = - lo g_{10} (ab)

log_{2}(x/(10000))=50

lo g_{2} (\frac{x}{10000}) = 50

2ln(2)+2ln(x)=2ln(2x)

2 ln (2) + 2 ln (x) = 2 ln (2 x)