x uchun yechish
x=\frac{3}{4}=0,75
x uchun yechish (complex solution)
x=\frac{i\pi n_{1}}{2\ln(3)}+\frac{3}{4}
n_{1}\in \mathrm{Z}
Grafik
Baham ko'rish
Klipbordga nusxa olish
9^{2x+1}=243
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\log(9^{2x+1})=\log(243)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
\left(2x+1\right)\log(9)=\log(243)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
2x+1=\frac{\log(243)}{\log(9)}
Ikki tarafini \log(9) ga bo‘ling.
2x+1=\log_{9}\left(243\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
2x=\frac{5}{2}-1
Tenglamaning ikkala tarafidan 1 ni ayirish.
x=\frac{\frac{3}{2}}{2}
Ikki tarafini 2 ga bo‘ling.
Misollar
Ikkilik tenglama
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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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