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人気のある代数 >

2|3^x-1|=3^x

解

2 ∣ 3^{x} - 1 ∣ = 3^{x}

解

x = \frac{ln ( \frac{2}{3} )}{ln ( 3 )}, x = \frac{ln ( 2 )}{ln ( 3 )}

+1

十進法表記

x = - 0.36907 \dots, x = 0.63092 \dots

解答ステップ

2 ∣ 3^{x} - 1 ∣ = 3^{x}

equationを以下で書き換える:

3^{x} = u

2 ∣ u - 1 ∣ = u

解く

2 ∣ u - 1 ∣ = u : u = \frac{2}{3} or u = 2

u = \frac{2}{3}, u = 2

再び

u = 3^{x}

に置き換えて以下を解く:

x

解く

3^{x} = \frac{2}{3} : x = \frac{ln ( \frac{2}{3} )}{ln ( 3 )}

解く

3^{x} = 2 : x = \frac{ln ( 2 )}{ln ( 3 )}

x = \frac{ln ( \frac{2}{3} )}{ln ( 3 )}, x = \frac{ln ( 2 )}{ln ( 3 )}

グラフ

人気の例

因数 12x^2-18x+6

f a c t or 12 x^{2} - 18 x + 6

簡約 \sqrt[6]{y^5}\sqrt[3]{y^2}

s im pl i f y 6 y^{5} 3 y^{2}

4 h - 13 = - 9 h

5 x - 3 > 17

3p-p/4-5= p/6-2p+6

3 p - \frac{p}{4} - 5 = \frac{p}{6} - 2 p + 6