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

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

Solvi għal x

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas il-frazzjoni \frac{48}{100} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

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

Żid 1 u \frac{12}{25} biex tikseb \frac{37}{25}.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi ż-żewġ naħat b'4\times \left(\frac{37}{25}\right)^{t}.

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

Meta tiddividi b'4\times \left(\frac{37}{25}\right)^{t} titneħħa l-multiplikazzjoni b'4\times \left(\frac{37}{25}\right)^{t}.

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

Iddividi 19 b'4\times \left(\frac{37}{25}\right)^{t}.

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

Solvi għal t (complex solution)

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

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

$$x\neq 0$$

Solvi għal t

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

$$x>0$$