x uchun yechish
x=286
x uchun yechish (complex solution)
x=\frac{2\pi n_{1}i}{\ln(5)}+286
n_{1}\in \mathrm{Z}
Grafik
Baham ko'rish
Klipbordga nusxa olish
80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625=5^{x}
286 daraja ko‘rsatkichini 5 ga hisoblang va 80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625 ni qiymatni oling.
5^{x}=80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\log(5^{x})=\log(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
x\log(5)=\log(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
x=\frac{\log(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625)}{\log(5)}
Ikki tarafini \log(5) ga bo‘ling.
x=\log_{5}\left(80430587335437951845921127710495140134505930956790981674787620735993532493360592592242243732067646706109375636523120697559743178513198594503598322878201257201714879929710377837182022631168365478515625\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
Misollar
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