x uchun yechish
x=\frac{\log(5)}{4}\approx 0,174742501
x uchun yechish (complex solution)
x=\frac{\pi n_{1}i}{2\ln(10)}+\frac{\log_{10}\left(5\right)}{4}
n_{1}\in \mathrm{Z}
Grafik
Viktorina
Algebra
10 ^ { 4 x } = 5
Baham ko'rish
Klipbordga nusxa olish
10^{4x}=5
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(10^{4x})=\log(5)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
4x\log(10)=\log(5)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
x=\frac{\log(5)}{4}
Ikki tarafini 4 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
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Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
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Differensatsiya
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Oʻngga
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Chegaralar
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