5^a=1/25 eching

$$5 ^ { a } = \frac { 1 } { 25 }$$

a uchun yechish

$$a=-2$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$5^{a}=\frac{1}{25}$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(5^{a})=\log(\frac{1}{25})$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$a\log(5)=\log(\frac{1}{25})$$

Ikki tarafini \log(5) ga bo‘ling.

$$a=\frac{\log(\frac{1}{25})}{\log(5)}$$

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

$$a=\log_{5}\left(\frac{1}{25}\right)$$