2*7^2n-98=0 eching

$$2 \times 7 ^ { 2 n } - 98 = 0$$

n uchun yechish

$$n=1$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$2\times 7^{2n}-98=0$$

98 ni tenglamaning ikkala tarafiga qo'shish.

$$2\times 7^{2n}=98$$

Ikki tarafini 2 ga bo‘ling.

$$7^{2n}=49$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(7^{2n})=\log(49)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$2n\log(7)=\log(49)$$

Ikki tarafini \log(7) ga bo‘ling.

$$2n=\frac{\log(49)}{\log(7)}$$

Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$2n=\log_{7}\left(49\right)$$

Ikki tarafini 2 ga bo‘ling.

$$n=\frac{2}{2}$$