4x(1+48%)^t=19 eching

$$4 x ( 1 + 48 \% ) ^ { t } = 19$$

x uchun yechish

$$x=\frac{19\times \left(\frac{25}{37}\right)^{t}}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{48}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$4x\left(1+\frac{12}{25}\right)^{t}=19$$

\frac{37}{25} olish uchun 1 va \frac{12}{25}'ni qo'shing.

$$4x\times \left(\frac{37}{25}\right)^{t}=19$$

Tenglama standart shaklda.

$$4\times \left(\frac{37}{25}\right)^{t}x=19$$

Ikki tarafini 4\times \left(\frac{37}{25}\right)^{t} ga bo‘ling.

$$\frac{4\times \left(\frac{37}{25}\right)^{t}x}{4\times \left(\frac{37}{25}\right)^{t}}=\frac{19}{4\times \left(\frac{37}{25}\right)^{t}}$$

4\times \left(\frac{37}{25}\right)^{t} ga bo'lish 4\times \left(\frac{37}{25}\right)^{t} ga ko'paytirishni bekor qiladi.

$$x=\frac{19}{4\times \left(\frac{37}{25}\right)^{t}}$$

19 ni 4\times \left(\frac{37}{25}\right)^{t} ga bo'lish.

$$x=\frac{19\times \left(\frac{25}{37}\right)^{t}}{4}$$

t uchun yechish (complex solution)

$$t=\frac{-\ln(x)+\ln(\frac{19}{4})}{\ln(\frac{37}{25})}+\frac{2\pi n_{1}i}{\ln(\frac{37}{25})}$$

$$n_{1}\in \mathrm{Z}$$

$$x\neq 0$$

t uchun yechish

$$t=\frac{-\ln(x)+\ln(\frac{19}{4})}{\ln(\frac{37}{25})}$$

$$x>0$$