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人気のある代数 >

(log_{e}(x-1))^2=4

解

(lo g_{e} (x - 1))^{2} = 4

解

x = e^{2} + 1, x = \frac{1}{e ^{2}} + 1

+1

十進法表記

x = 8.38905 \dots, x = 1.13533 \dots

解答ステップ

(lo g_{e} (x - 1))^{2} = 4

equationを以下で書き換える:

lo g_{e} (x - 1) = u

(u)^{2} = 4

解く

u^{2} = 4 : u = 4, u = - 4

u = 4, u = - 4

再び

u = lo g_{e} (x - 1)

に置き換えて以下を解く:

x

解く

lo g_{e} (x - 1) = 4 : x = e^{2} + 1

解く

lo g_{e} (x - 1) = - 4 : x = \frac{1}{e ^{2}} + 1

x = e^{2} + 1, x = \frac{1}{e ^{2}} + 1

解を検算する:

x = e^{2} + 1

真

, x = \frac{1}{e ^{2}} + 1

真

解答は

x = e^{2} + 1, x = \frac{1}{e ^{2}} + 1

グラフ

人気の例

xln(2)+ln(5)=ln(4^x-6)

x ln (2) + ln (5) = ln (4^{x} - 6)

ln(x)-ln(8)=ln(x+5)-ln(2)

ln (x) - ln (8) = ln (x + 5) - ln (2)

ln(x)+ln(3)=ln(9)

ln (x) + ln (3) = ln (9)

log_{6}(3-m)+log_{6}(-m-2)=2

lo g_{6} (3 - m) + lo g_{6} (- m - 2) = 2

lo g_{6} (3 x) = 2