e^3m+6=33 eching

$$e ^ { 3 m + 6 } = 33$$

m uchun yechish

$$m=\frac{\ln(33)-6}{3}\approx -0,83449748$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$e^{3m+6}=33$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(e^{3m+6})=\log(33)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$\left(3m+6\right)\log(e)=\log(33)$$

Ikki tarafini \log(e) ga bo‘ling.

$$3m+6=\frac{\log(33)}{\log(e)}$$

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

$$3m+6=\log_{e}\left(33\right)$$

Tenglamaning ikkala tarafidan 6 ni ayirish.

$$3m=\ln(33)-6$$

Ikki tarafini 3 ga bo‘ling.

$$m=\frac{\ln(33)-6}{3}$$