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人気のある代数 >

4|5^x-1|=5^x

解

4 ∣ 5^{x} - 1 ∣ = 5^{x}

解

x = \frac{ln ( \frac{4}{5} )}{ln ( 5 )}, x = \frac{ln ( \frac{4}{3} )}{ln ( 5 )}

+1

十進法表記

x = - 0.13864 \dots, x = 0.17874 \dots

解答ステップ

4 ∣ 5^{x} - 1 ∣ = 5^{x}

equationを以下で書き換える:

5^{x} = u

4 ∣ u - 1 ∣ = u

解く

4 ∣ u - 1 ∣ = u : u = \frac{4}{5} or u = \frac{4}{3}

u = \frac{4}{5}, u = \frac{4}{3}

再び

u = 5^{x}

に置き換えて以下を解く:

x

解く

5^{x} = \frac{4}{5} : x = \frac{ln ( \frac{4}{5} )}{ln ( 5 )}

解く

5^{x} = \frac{4}{3} : x = \frac{ln ( \frac{4}{3} )}{ln ( 5 )}

x = \frac{ln ( \frac{4}{5} )}{ln ( 5 )}, x = \frac{ln ( \frac{4}{3} )}{ln ( 5 )}

グラフ

人気の例

3^{2 x - 2} = 9

\frac{1}{49} = 34 3^{x}

3^{2 x} - 1 = 15

solvefor t,u_{t}(t)(t)+e^tu=0

so l v e f or t, u_{t} (t) (t) + e^{t} u = 0

8^x=(2^{32}-4^{14})/(30)

8^{x} = \frac{2 ^{32} - 4 ^{14}}{30}